6-1 Ratios - PBworkstps7thgrade.pbworks.com/w/file/fetch/73825592/6-1, p. 268_Ratios.pdf · PIANOS...
14
Express each ratio as a fraction in simplest form. 12 boys to 16 girls 62/87,21 $16:(5 24 out of 60 light bulbs 62/87,21 $16:(5 36 DVDs out of 84 DVDs 62/87,21 $16:(5 eSolutions Manual - Powered by Cognero Page 1 6-1 Ratios
Transcript of 6-1 Ratios - PBworkstps7thgrade.pbworks.com/w/file/fetch/73825592/6-1, p. 268_Ratios.pdf · PIANOS...
Express each ratio as a fraction in simplest form.���12 boys to 16 girls
62/87,21���
$16:(5���
���24 out of 60 light bulbs
62/87,21���
$16:(5���
���36 DVDs out of 84 DVDs
62/87,21���
$16:(5���
���50 tiles to 25 tiles
62/87,21���
$16:(5���
���ACTIVITIES In Mr. Blackwell¶s class, 15 out of 24 students play sports. Express this ratio as a fraction in simplestform. Explain its meaning.
62/87,21���
For every 8 students, 5 participate in sports.
$16:(5���
; For every 8 students, 5 participate in sports
Express each ratio as a fraction in simplest form.���3 pints to 4 quarts
62/87,21���Convert 4 quarts to pints. There are 2 pints in 1 quart.
$16:(5���
���2 pounds to 6 ounces
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
���9 inches to 1 yard
62/87,21���Convert 1 yard to inches. There are 36 inches in 1 yard.
$16:(5���
���6 gallons to 3 quarts
62/87,21���Convert 6 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
Express each ratio as a fraction in simplest form.����9 out of 15 pets
62/87,21���
$16:(5���
����20 wins out of 36 games
62/87,21���
$16:(5���
����4 players to 52 cards
62/87,21���
$16:(5���
����45 out of 60 days
62/87,21���
$16:(5���
����16 pens to 10 pencils
62/87,21���
$16:(5���
����96 people to 3 buses
62/87,21���
$16:(5���
����PIANOS On a full size piano, there are 36 black keys and 52 white keys. Express the ratio of black keys to white keys as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
$16:(5���
; For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
����RESTAURANTS In a restaurant, 72 out of 108 tables are booths. Express the ratio of tables that are booths to the total number of tables as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV
$16:(5���
; For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV�
Express each ratio as a fraction in simplest form.����10 yards to 10 feet
62/87,21���Convert yards to feet. There are 3 feet in 1 yard.
$16:(5���
����4 ounces to 2 pounds
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
����18 quarts to 4 gallons
62/87,21���Convert 4 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
����6 feet to 14 inches
62/87,21���Convert 6 feet to inches. There are 12 inches in 1 foot.
$16:(5���
����STORES A department store conducted a study to determine what age group shops in their store.
a. Express the ratio of people ages 0±17 to people ages 18±30 as a fraction in simplest form. b. Express the ratio of people thirty or under to people over the age of 30 as a fraction in simplest form.c. Express the ratio of people age 18±30 to the total number of people as a fraction in simplest form.
62/87,21���a.
b.
c.
$16:(5���
a.
b.
c.
����WATER PARKS A water park has 14 body slides, 8 tube slides, 2 types of swimming pools, and 6 water play areas. Use this information to write each ratio as a fraction in simplest form. a. body slides : tube slides b. play areas : tube slides c. slides : all attractions d. slides : not slides
62/87,21���a.
b.
c.
d.
$16:(5���
a.
b.
c.
d.
����PHONES A cell phone store displayed the phone below on a poster. The length of the phone on the poster is 3 feet 4 inches. Write a ratio comparing the length of the actual cell phone to length of the cell phone on the poster as a fraction in simplest form.
62/87,21���Convert the length of the actual phone to inches. There are 12 inches in 1 foot, so 3 feet 4 inches is 36 + 4 = 40 inches.
$16:(5���
Solve. Graph your solution on a number line.����3x���������
62/87,21���
$16:(5���x ���
����2n + 5 > 11 ± n
62/87,21���
$16:(5���n > 2
����y �������y + 4
62/87,21���
$16:(5���y ��±1
����16 ± 2c < 14
62/87,21���
$16:(5���c > 1
������������± 2n
62/87,21���
$16:(5���n ��±3
����±3(b ± 1) > 18
62/87,21���
$16:(5���b < ±5
����APPLES More than 2500 varieties of apples are grown in the United States. Write an inequality to describe the apple varieties.
62/87,21���Let a = the number of varieties of apples grown in the United States. So, a > 2500.
$16:(5���a > 2500
Name the ordered pair for each point graphed below.
����A
62/87,21���Start at the origin. To get to point A, go 4 to the left and 3 down. The point is at (±4, ±3).
$16:(5���(±4, ±3)
����B
62/87,21���Start at the origin. To get to point B, go 2 to the right and 1 down. The point is at (2, ±1).
$16:(5���(2, ±1)
����C
62/87,21���Start at the origin. To get to point C, go 3 to the left and 2 up. The point is at (±3, 2).
$16:(5���(±3, 2)
����D
62/87,21���Start at the origin. To get to point D, go 3 to the right and 4 up. The point is at (3, 4).
$16:(5���(3, 4)
����E
62/87,21���Start at the origin. To get to point E, go 1 to the right and 3 up. The point is at (1, 3).
$16:(5���(1, 3)
����F
62/87,21���Start at the origin. To get to point F, go 4 to the right and 4 down. The point is at (4, ±4).
$16:(5���(4, ±4)
eSolutions Manual - Powered by Cognero Page 1
6-1 Ratios
Express each ratio as a fraction in simplest form.���12 boys to 16 girls
62/87,21���
$16:(5���
���24 out of 60 light bulbs
62/87,21���
$16:(5���
���36 DVDs out of 84 DVDs
62/87,21���
$16:(5���
���50 tiles to 25 tiles
62/87,21���
$16:(5���
���ACTIVITIES In Mr. Blackwell¶s class, 15 out of 24 students play sports. Express this ratio as a fraction in simplestform. Explain its meaning.
62/87,21���
For every 8 students, 5 participate in sports.
$16:(5���
; For every 8 students, 5 participate in sports
Express each ratio as a fraction in simplest form.���3 pints to 4 quarts
62/87,21���Convert 4 quarts to pints. There are 2 pints in 1 quart.
$16:(5���
���2 pounds to 6 ounces
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
���9 inches to 1 yard
62/87,21���Convert 1 yard to inches. There are 36 inches in 1 yard.
$16:(5���
���6 gallons to 3 quarts
62/87,21���Convert 6 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
Express each ratio as a fraction in simplest form.����9 out of 15 pets
62/87,21���
$16:(5���
����20 wins out of 36 games
62/87,21���
$16:(5���
����4 players to 52 cards
62/87,21���
$16:(5���
����45 out of 60 days
62/87,21���
$16:(5���
����16 pens to 10 pencils
62/87,21���
$16:(5���
����96 people to 3 buses
62/87,21���
$16:(5���
����PIANOS On a full size piano, there are 36 black keys and 52 white keys. Express the ratio of black keys to white keys as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
$16:(5���
; For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
����RESTAURANTS In a restaurant, 72 out of 108 tables are booths. Express the ratio of tables that are booths to the total number of tables as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV
$16:(5���
; For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV�
Express each ratio as a fraction in simplest form.����10 yards to 10 feet
62/87,21���Convert yards to feet. There are 3 feet in 1 yard.
$16:(5���
����4 ounces to 2 pounds
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
����18 quarts to 4 gallons
62/87,21���Convert 4 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
����6 feet to 14 inches
62/87,21���Convert 6 feet to inches. There are 12 inches in 1 foot.
$16:(5���
����STORES A department store conducted a study to determine what age group shops in their store.
a. Express the ratio of people ages 0±17 to people ages 18±30 as a fraction in simplest form. b. Express the ratio of people thirty or under to people over the age of 30 as a fraction in simplest form.c. Express the ratio of people age 18±30 to the total number of people as a fraction in simplest form.
62/87,21���a.
b.
c.
$16:(5���
a.
b.
c.
����WATER PARKS A water park has 14 body slides, 8 tube slides, 2 types of swimming pools, and 6 water play areas. Use this information to write each ratio as a fraction in simplest form. a. body slides : tube slides b. play areas : tube slides c. slides : all attractions d. slides : not slides
62/87,21���a.
b.
c.
d.
$16:(5���
a.
b.
c.
d.
����PHONES A cell phone store displayed the phone below on a poster. The length of the phone on the poster is 3 feet 4 inches. Write a ratio comparing the length of the actual cell phone to length of the cell phone on the poster as a fraction in simplest form.
62/87,21���Convert the length of the actual phone to inches. There are 12 inches in 1 foot, so 3 feet 4 inches is 36 + 4 = 40 inches.
$16:(5���
Solve. Graph your solution on a number line.����3x���������
62/87,21���
$16:(5���x ���
����2n + 5 > 11 ± n
62/87,21���
$16:(5���n > 2
����y �������y + 4
62/87,21���
$16:(5���y ��±1
����16 ± 2c < 14
62/87,21���
$16:(5���c > 1
������������± 2n
62/87,21���
$16:(5���n ��±3
����±3(b ± 1) > 18
62/87,21���
$16:(5���b < ±5
����APPLES More than 2500 varieties of apples are grown in the United States. Write an inequality to describe the apple varieties.
62/87,21���Let a = the number of varieties of apples grown in the United States. So, a > 2500.
$16:(5���a > 2500
Name the ordered pair for each point graphed below.
����A
62/87,21���Start at the origin. To get to point A, go 4 to the left and 3 down. The point is at (±4, ±3).
$16:(5���(±4, ±3)
����B
62/87,21���Start at the origin. To get to point B, go 2 to the right and 1 down. The point is at (2, ±1).
$16:(5���(2, ±1)
����C
62/87,21���Start at the origin. To get to point C, go 3 to the left and 2 up. The point is at (±3, 2).
$16:(5���(±3, 2)
����D
62/87,21���Start at the origin. To get to point D, go 3 to the right and 4 up. The point is at (3, 4).
$16:(5���(3, 4)
����E
62/87,21���Start at the origin. To get to point E, go 1 to the right and 3 up. The point is at (1, 3).
$16:(5���(1, 3)
����F
62/87,21���Start at the origin. To get to point F, go 4 to the right and 4 down. The point is at (4, ±4).
$16:(5���(4, ±4)
eSolutions Manual - Powered by Cognero Page 2
6-1 Ratios
Express each ratio as a fraction in simplest form.���12 boys to 16 girls
62/87,21���
$16:(5���
���24 out of 60 light bulbs
62/87,21���
$16:(5���
���36 DVDs out of 84 DVDs
62/87,21���
$16:(5���
���50 tiles to 25 tiles
62/87,21���
$16:(5���
���ACTIVITIES In Mr. Blackwell¶s class, 15 out of 24 students play sports. Express this ratio as a fraction in simplestform. Explain its meaning.
62/87,21���
For every 8 students, 5 participate in sports.
$16:(5���
; For every 8 students, 5 participate in sports
Express each ratio as a fraction in simplest form.���3 pints to 4 quarts
62/87,21���Convert 4 quarts to pints. There are 2 pints in 1 quart.
$16:(5���
���2 pounds to 6 ounces
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
���9 inches to 1 yard
62/87,21���Convert 1 yard to inches. There are 36 inches in 1 yard.
$16:(5���
���6 gallons to 3 quarts
62/87,21���Convert 6 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
Express each ratio as a fraction in simplest form.����9 out of 15 pets
62/87,21���
$16:(5���
����20 wins out of 36 games
62/87,21���
$16:(5���
����4 players to 52 cards
62/87,21���
$16:(5���
����45 out of 60 days
62/87,21���
$16:(5���
����16 pens to 10 pencils
62/87,21���
$16:(5���
����96 people to 3 buses
62/87,21���
$16:(5���
����PIANOS On a full size piano, there are 36 black keys and 52 white keys. Express the ratio of black keys to white keys as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
$16:(5���
; For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
����RESTAURANTS In a restaurant, 72 out of 108 tables are booths. Express the ratio of tables that are booths to the total number of tables as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV
$16:(5���
; For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV�
Express each ratio as a fraction in simplest form.����10 yards to 10 feet
62/87,21���Convert yards to feet. There are 3 feet in 1 yard.
$16:(5���
����4 ounces to 2 pounds
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
����18 quarts to 4 gallons
62/87,21���Convert 4 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
����6 feet to 14 inches
62/87,21���Convert 6 feet to inches. There are 12 inches in 1 foot.
$16:(5���
����STORES A department store conducted a study to determine what age group shops in their store.
a. Express the ratio of people ages 0±17 to people ages 18±30 as a fraction in simplest form. b. Express the ratio of people thirty or under to people over the age of 30 as a fraction in simplest form.c. Express the ratio of people age 18±30 to the total number of people as a fraction in simplest form.
62/87,21���a.
b.
c.
$16:(5���
a.
b.
c.
����WATER PARKS A water park has 14 body slides, 8 tube slides, 2 types of swimming pools, and 6 water play areas. Use this information to write each ratio as a fraction in simplest form. a. body slides : tube slides b. play areas : tube slides c. slides : all attractions d. slides : not slides
62/87,21���a.
b.
c.
d.
$16:(5���
a.
b.
c.
d.
����PHONES A cell phone store displayed the phone below on a poster. The length of the phone on the poster is 3 feet 4 inches. Write a ratio comparing the length of the actual cell phone to length of the cell phone on the poster as a fraction in simplest form.
62/87,21���Convert the length of the actual phone to inches. There are 12 inches in 1 foot, so 3 feet 4 inches is 36 + 4 = 40 inches.
$16:(5���
Solve. Graph your solution on a number line.����3x���������
62/87,21���
$16:(5���x ���
����2n + 5 > 11 ± n
62/87,21���
$16:(5���n > 2
����y �������y + 4
62/87,21���
$16:(5���y ��±1
����16 ± 2c < 14
62/87,21���
$16:(5���c > 1
������������± 2n
62/87,21���
$16:(5���n ��±3
����±3(b ± 1) > 18
62/87,21���
$16:(5���b < ±5
����APPLES More than 2500 varieties of apples are grown in the United States. Write an inequality to describe the apple varieties.
62/87,21���Let a = the number of varieties of apples grown in the United States. So, a > 2500.
$16:(5���a > 2500
Name the ordered pair for each point graphed below.
����A
62/87,21���Start at the origin. To get to point A, go 4 to the left and 3 down. The point is at (±4, ±3).
$16:(5���(±4, ±3)
����B
62/87,21���Start at the origin. To get to point B, go 2 to the right and 1 down. The point is at (2, ±1).
$16:(5���(2, ±1)
����C
62/87,21���Start at the origin. To get to point C, go 3 to the left and 2 up. The point is at (±3, 2).
$16:(5���(±3, 2)
����D
62/87,21���Start at the origin. To get to point D, go 3 to the right and 4 up. The point is at (3, 4).
$16:(5���(3, 4)
����E
62/87,21���Start at the origin. To get to point E, go 1 to the right and 3 up. The point is at (1, 3).
$16:(5���(1, 3)
����F
62/87,21���Start at the origin. To get to point F, go 4 to the right and 4 down. The point is at (4, ±4).
$16:(5���(4, ±4)
eSolutions Manual - Powered by Cognero Page 3
6-1 Ratios
Express each ratio as a fraction in simplest form.���12 boys to 16 girls
62/87,21���
$16:(5���
���24 out of 60 light bulbs
62/87,21���
$16:(5���
���36 DVDs out of 84 DVDs
62/87,21���
$16:(5���
���50 tiles to 25 tiles
62/87,21���
$16:(5���
���ACTIVITIES In Mr. Blackwell¶s class, 15 out of 24 students play sports. Express this ratio as a fraction in simplestform. Explain its meaning.
62/87,21���
For every 8 students, 5 participate in sports.
$16:(5���
; For every 8 students, 5 participate in sports
Express each ratio as a fraction in simplest form.���3 pints to 4 quarts
62/87,21���Convert 4 quarts to pints. There are 2 pints in 1 quart.
$16:(5���
���2 pounds to 6 ounces
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
���9 inches to 1 yard
62/87,21���Convert 1 yard to inches. There are 36 inches in 1 yard.
$16:(5���
���6 gallons to 3 quarts
62/87,21���Convert 6 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
Express each ratio as a fraction in simplest form.����9 out of 15 pets
62/87,21���
$16:(5���
����20 wins out of 36 games
62/87,21���
$16:(5���
����4 players to 52 cards
62/87,21���
$16:(5���
����45 out of 60 days
62/87,21���
$16:(5���
����16 pens to 10 pencils
62/87,21���
$16:(5���
����96 people to 3 buses
62/87,21���
$16:(5���
����PIANOS On a full size piano, there are 36 black keys and 52 white keys. Express the ratio of black keys to white keys as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
$16:(5���
; For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
����RESTAURANTS In a restaurant, 72 out of 108 tables are booths. Express the ratio of tables that are booths to the total number of tables as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV
$16:(5���
; For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV�
Express each ratio as a fraction in simplest form.����10 yards to 10 feet
62/87,21���Convert yards to feet. There are 3 feet in 1 yard.
$16:(5���
����4 ounces to 2 pounds
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
����18 quarts to 4 gallons
62/87,21���Convert 4 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
����6 feet to 14 inches
62/87,21���Convert 6 feet to inches. There are 12 inches in 1 foot.
$16:(5���
����STORES A department store conducted a study to determine what age group shops in their store.
a. Express the ratio of people ages 0±17 to people ages 18±30 as a fraction in simplest form. b. Express the ratio of people thirty or under to people over the age of 30 as a fraction in simplest form.c. Express the ratio of people age 18±30 to the total number of people as a fraction in simplest form.
62/87,21���a.
b.
c.
$16:(5���
a.
b.
c.
����WATER PARKS A water park has 14 body slides, 8 tube slides, 2 types of swimming pools, and 6 water play areas. Use this information to write each ratio as a fraction in simplest form. a. body slides : tube slides b. play areas : tube slides c. slides : all attractions d. slides : not slides
62/87,21���a.
b.
c.
d.
$16:(5���
a.
b.
c.
d.
����PHONES A cell phone store displayed the phone below on a poster. The length of the phone on the poster is 3 feet 4 inches. Write a ratio comparing the length of the actual cell phone to length of the cell phone on the poster as a fraction in simplest form.
62/87,21���Convert the length of the actual phone to inches. There are 12 inches in 1 foot, so 3 feet 4 inches is 36 + 4 = 40 inches.
$16:(5���
Solve. Graph your solution on a number line.����3x���������
62/87,21���
$16:(5���x ���
����2n + 5 > 11 ± n
62/87,21���
$16:(5���n > 2
����y �������y + 4
62/87,21���
$16:(5���y ��±1
����16 ± 2c < 14
62/87,21���
$16:(5���c > 1
������������± 2n
62/87,21���
$16:(5���n ��±3
����±3(b ± 1) > 18
62/87,21���
$16:(5���b < ±5
����APPLES More than 2500 varieties of apples are grown in the United States. Write an inequality to describe the apple varieties.
62/87,21���Let a = the number of varieties of apples grown in the United States. So, a > 2500.
$16:(5���a > 2500
Name the ordered pair for each point graphed below.
����A
62/87,21���Start at the origin. To get to point A, go 4 to the left and 3 down. The point is at (±4, ±3).
$16:(5���(±4, ±3)
����B
62/87,21���Start at the origin. To get to point B, go 2 to the right and 1 down. The point is at (2, ±1).
$16:(5���(2, ±1)
����C
62/87,21���Start at the origin. To get to point C, go 3 to the left and 2 up. The point is at (±3, 2).
$16:(5���(±3, 2)
����D
62/87,21���Start at the origin. To get to point D, go 3 to the right and 4 up. The point is at (3, 4).
$16:(5���(3, 4)
����E
62/87,21���Start at the origin. To get to point E, go 1 to the right and 3 up. The point is at (1, 3).
$16:(5���(1, 3)
����F
62/87,21���Start at the origin. To get to point F, go 4 to the right and 4 down. The point is at (4, ±4).
$16:(5���(4, ±4)
eSolutions Manual - Powered by Cognero Page 4
6-1 Ratios
Express each ratio as a fraction in simplest form.���12 boys to 16 girls
62/87,21���
$16:(5���
���24 out of 60 light bulbs
62/87,21���
$16:(5���
���36 DVDs out of 84 DVDs
62/87,21���
$16:(5���
���50 tiles to 25 tiles
62/87,21���
$16:(5���
���ACTIVITIES In Mr. Blackwell¶s class, 15 out of 24 students play sports. Express this ratio as a fraction in simplestform. Explain its meaning.
62/87,21���
For every 8 students, 5 participate in sports.
$16:(5���
; For every 8 students, 5 participate in sports
Express each ratio as a fraction in simplest form.���3 pints to 4 quarts
62/87,21���Convert 4 quarts to pints. There are 2 pints in 1 quart.
$16:(5���
���2 pounds to 6 ounces
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
���9 inches to 1 yard
62/87,21���Convert 1 yard to inches. There are 36 inches in 1 yard.
$16:(5���
���6 gallons to 3 quarts
62/87,21���Convert 6 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
Express each ratio as a fraction in simplest form.����9 out of 15 pets
62/87,21���
$16:(5���
����20 wins out of 36 games
62/87,21���
$16:(5���
����4 players to 52 cards
62/87,21���
$16:(5���
����45 out of 60 days
62/87,21���
$16:(5���
����16 pens to 10 pencils
62/87,21���
$16:(5���
����96 people to 3 buses
62/87,21���
$16:(5���
����PIANOS On a full size piano, there are 36 black keys and 52 white keys. Express the ratio of black keys to white keys as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
$16:(5���
; For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
����RESTAURANTS In a restaurant, 72 out of 108 tables are booths. Express the ratio of tables that are booths to the total number of tables as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV
$16:(5���
; For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV�
Express each ratio as a fraction in simplest form.����10 yards to 10 feet
62/87,21���Convert yards to feet. There are 3 feet in 1 yard.
$16:(5���
����4 ounces to 2 pounds
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
����18 quarts to 4 gallons
62/87,21���Convert 4 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
����6 feet to 14 inches
62/87,21���Convert 6 feet to inches. There are 12 inches in 1 foot.
$16:(5���
����STORES A department store conducted a study to determine what age group shops in their store.
a. Express the ratio of people ages 0±17 to people ages 18±30 as a fraction in simplest form. b. Express the ratio of people thirty or under to people over the age of 30 as a fraction in simplest form.c. Express the ratio of people age 18±30 to the total number of people as a fraction in simplest form.
62/87,21���a.
b.
c.
$16:(5���
a.
b.
c.
����WATER PARKS A water park has 14 body slides, 8 tube slides, 2 types of swimming pools, and 6 water play areas. Use this information to write each ratio as a fraction in simplest form. a. body slides : tube slides b. play areas : tube slides c. slides : all attractions d. slides : not slides
62/87,21���a.
b.
c.
d.
$16:(5���
a.
b.
c.
d.
����PHONES A cell phone store displayed the phone below on a poster. The length of the phone on the poster is 3 feet 4 inches. Write a ratio comparing the length of the actual cell phone to length of the cell phone on the poster as a fraction in simplest form.
62/87,21���Convert the length of the actual phone to inches. There are 12 inches in 1 foot, so 3 feet 4 inches is 36 + 4 = 40 inches.
$16:(5���
Solve. Graph your solution on a number line.����3x���������
62/87,21���
$16:(5���x ���
����2n + 5 > 11 ± n
62/87,21���
$16:(5���n > 2
����y �������y + 4
62/87,21���
$16:(5���y ��±1
����16 ± 2c < 14
62/87,21���
$16:(5���c > 1
������������± 2n
62/87,21���
$16:(5���n ��±3
����±3(b ± 1) > 18
62/87,21���
$16:(5���b < ±5
����APPLES More than 2500 varieties of apples are grown in the United States. Write an inequality to describe the apple varieties.
62/87,21���Let a = the number of varieties of apples grown in the United States. So, a > 2500.
$16:(5���a > 2500
Name the ordered pair for each point graphed below.
����A
62/87,21���Start at the origin. To get to point A, go 4 to the left and 3 down. The point is at (±4, ±3).
$16:(5���(±4, ±3)
����B
62/87,21���Start at the origin. To get to point B, go 2 to the right and 1 down. The point is at (2, ±1).
$16:(5���(2, ±1)
����C
62/87,21���Start at the origin. To get to point C, go 3 to the left and 2 up. The point is at (±3, 2).
$16:(5���(±3, 2)
����D
62/87,21���Start at the origin. To get to point D, go 3 to the right and 4 up. The point is at (3, 4).
$16:(5���(3, 4)
����E
62/87,21���Start at the origin. To get to point E, go 1 to the right and 3 up. The point is at (1, 3).
$16:(5���(1, 3)
����F
62/87,21���Start at the origin. To get to point F, go 4 to the right and 4 down. The point is at (4, ±4).
$16:(5���(4, ±4)
eSolutions Manual - Powered by Cognero Page 5
6-1 Ratios
Express each ratio as a fraction in simplest form.���12 boys to 16 girls
62/87,21���
$16:(5���
���24 out of 60 light bulbs
62/87,21���
$16:(5���
���36 DVDs out of 84 DVDs
62/87,21���
$16:(5���
���50 tiles to 25 tiles
62/87,21���
$16:(5���
���ACTIVITIES In Mr. Blackwell¶s class, 15 out of 24 students play sports. Express this ratio as a fraction in simplestform. Explain its meaning.
62/87,21���
For every 8 students, 5 participate in sports.
$16:(5���
; For every 8 students, 5 participate in sports
Express each ratio as a fraction in simplest form.���3 pints to 4 quarts
62/87,21���Convert 4 quarts to pints. There are 2 pints in 1 quart.
$16:(5���
���2 pounds to 6 ounces
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
���9 inches to 1 yard
62/87,21���Convert 1 yard to inches. There are 36 inches in 1 yard.
$16:(5���
���6 gallons to 3 quarts
62/87,21���Convert 6 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
Express each ratio as a fraction in simplest form.����9 out of 15 pets
62/87,21���
$16:(5���
����20 wins out of 36 games
62/87,21���
$16:(5���
����4 players to 52 cards
62/87,21���
$16:(5���
����45 out of 60 days
62/87,21���
$16:(5���
����16 pens to 10 pencils
62/87,21���
$16:(5���
����96 people to 3 buses
62/87,21���
$16:(5���
����PIANOS On a full size piano, there are 36 black keys and 52 white keys. Express the ratio of black keys to white keys as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
$16:(5���
; For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
����RESTAURANTS In a restaurant, 72 out of 108 tables are booths. Express the ratio of tables that are booths to the total number of tables as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV
$16:(5���
; For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV�
Express each ratio as a fraction in simplest form.����10 yards to 10 feet
62/87,21���Convert yards to feet. There are 3 feet in 1 yard.
$16:(5���
����4 ounces to 2 pounds
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
����18 quarts to 4 gallons
62/87,21���Convert 4 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
����6 feet to 14 inches
62/87,21���Convert 6 feet to inches. There are 12 inches in 1 foot.
$16:(5���
����STORES A department store conducted a study to determine what age group shops in their store.
a. Express the ratio of people ages 0±17 to people ages 18±30 as a fraction in simplest form. b. Express the ratio of people thirty or under to people over the age of 30 as a fraction in simplest form.c. Express the ratio of people age 18±30 to the total number of people as a fraction in simplest form.
62/87,21���a.
b.
c.
$16:(5���
a.
b.
c.
����WATER PARKS A water park has 14 body slides, 8 tube slides, 2 types of swimming pools, and 6 water play areas. Use this information to write each ratio as a fraction in simplest form. a. body slides : tube slides b. play areas : tube slides c. slides : all attractions d. slides : not slides
62/87,21���a.
b.
c.
d.
$16:(5���
a.
b.
c.
d.
����PHONES A cell phone store displayed the phone below on a poster. The length of the phone on the poster is 3 feet 4 inches. Write a ratio comparing the length of the actual cell phone to length of the cell phone on the poster as a fraction in simplest form.
62/87,21���Convert the length of the actual phone to inches. There are 12 inches in 1 foot, so 3 feet 4 inches is 36 + 4 = 40 inches.
$16:(5���
Solve. Graph your solution on a number line.����3x���������
62/87,21���
$16:(5���x ���
����2n + 5 > 11 ± n
62/87,21���
$16:(5���n > 2
����y �������y + 4
62/87,21���
$16:(5���y ��±1
����16 ± 2c < 14
62/87,21���
$16:(5���c > 1
������������± 2n
62/87,21���
$16:(5���n ��±3
����±3(b ± 1) > 18
62/87,21���
$16:(5���b < ±5
����APPLES More than 2500 varieties of apples are grown in the United States. Write an inequality to describe the apple varieties.
62/87,21���Let a = the number of varieties of apples grown in the United States. So, a > 2500.
$16:(5���a > 2500
Name the ordered pair for each point graphed below.
����A
62/87,21���Start at the origin. To get to point A, go 4 to the left and 3 down. The point is at (±4, ±3).
$16:(5���(±4, ±3)
����B
62/87,21���Start at the origin. To get to point B, go 2 to the right and 1 down. The point is at (2, ±1).
$16:(5���(2, ±1)
����C
62/87,21���Start at the origin. To get to point C, go 3 to the left and 2 up. The point is at (±3, 2).
$16:(5���(±3, 2)
����D
62/87,21���Start at the origin. To get to point D, go 3 to the right and 4 up. The point is at (3, 4).
$16:(5���(3, 4)
����E
62/87,21���Start at the origin. To get to point E, go 1 to the right and 3 up. The point is at (1, 3).
$16:(5���(1, 3)
����F
62/87,21���Start at the origin. To get to point F, go 4 to the right and 4 down. The point is at (4, ±4).
$16:(5���(4, ±4)
eSolutions Manual - Powered by Cognero Page 6
6-1 Ratios
Express each ratio as a fraction in simplest form.���12 boys to 16 girls
62/87,21���
$16:(5���
���24 out of 60 light bulbs
62/87,21���
$16:(5���
���36 DVDs out of 84 DVDs
62/87,21���
$16:(5���
���50 tiles to 25 tiles
62/87,21���
$16:(5���
���ACTIVITIES In Mr. Blackwell¶s class, 15 out of 24 students play sports. Express this ratio as a fraction in simplestform. Explain its meaning.
62/87,21���
For every 8 students, 5 participate in sports.
$16:(5���
; For every 8 students, 5 participate in sports
Express each ratio as a fraction in simplest form.���3 pints to 4 quarts
62/87,21���Convert 4 quarts to pints. There are 2 pints in 1 quart.
$16:(5���
���2 pounds to 6 ounces
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
���9 inches to 1 yard
62/87,21���Convert 1 yard to inches. There are 36 inches in 1 yard.
$16:(5���
���6 gallons to 3 quarts
62/87,21���Convert 6 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
Express each ratio as a fraction in simplest form.����9 out of 15 pets
62/87,21���
$16:(5���
����20 wins out of 36 games
62/87,21���
$16:(5���
����4 players to 52 cards
62/87,21���
$16:(5���
����45 out of 60 days
62/87,21���
$16:(5���
����16 pens to 10 pencils
62/87,21���
$16:(5���
����96 people to 3 buses
62/87,21���
$16:(5���
����PIANOS On a full size piano, there are 36 black keys and 52 white keys. Express the ratio of black keys to white keys as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
$16:(5���
; For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
����RESTAURANTS In a restaurant, 72 out of 108 tables are booths. Express the ratio of tables that are booths to the total number of tables as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV
$16:(5���
; For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV�
Express each ratio as a fraction in simplest form.����10 yards to 10 feet
62/87,21���Convert yards to feet. There are 3 feet in 1 yard.
$16:(5���
����4 ounces to 2 pounds
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
����18 quarts to 4 gallons
62/87,21���Convert 4 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
����6 feet to 14 inches
62/87,21���Convert 6 feet to inches. There are 12 inches in 1 foot.
$16:(5���
����STORES A department store conducted a study to determine what age group shops in their store.
a. Express the ratio of people ages 0±17 to people ages 18±30 as a fraction in simplest form. b. Express the ratio of people thirty or under to people over the age of 30 as a fraction in simplest form.c. Express the ratio of people age 18±30 to the total number of people as a fraction in simplest form.
62/87,21���a.
b.
c.
$16:(5���
a.
b.
c.
����WATER PARKS A water park has 14 body slides, 8 tube slides, 2 types of swimming pools, and 6 water play areas. Use this information to write each ratio as a fraction in simplest form. a. body slides : tube slides b. play areas : tube slides c. slides : all attractions d. slides : not slides
62/87,21���a.
b.
c.
d.
$16:(5���
a.
b.
c.
d.
����PHONES A cell phone store displayed the phone below on a poster. The length of the phone on the poster is 3 feet 4 inches. Write a ratio comparing the length of the actual cell phone to length of the cell phone on the poster as a fraction in simplest form.
62/87,21���Convert the length of the actual phone to inches. There are 12 inches in 1 foot, so 3 feet 4 inches is 36 + 4 = 40 inches.
$16:(5���
Solve. Graph your solution on a number line.����3x���������
62/87,21���
$16:(5���x ���
����2n + 5 > 11 ± n
62/87,21���
$16:(5���n > 2
����y �������y + 4
62/87,21���
$16:(5���y ��±1
����16 ± 2c < 14
62/87,21���
$16:(5���c > 1
������������± 2n
62/87,21���
$16:(5���n ��±3
����±3(b ± 1) > 18
62/87,21���
$16:(5���b < ±5
����APPLES More than 2500 varieties of apples are grown in the United States. Write an inequality to describe the apple varieties.
62/87,21���Let a = the number of varieties of apples grown in the United States. So, a > 2500.
$16:(5���a > 2500
Name the ordered pair for each point graphed below.
����A
62/87,21���Start at the origin. To get to point A, go 4 to the left and 3 down. The point is at (±4, ±3).
$16:(5���(±4, ±3)
����B
62/87,21���Start at the origin. To get to point B, go 2 to the right and 1 down. The point is at (2, ±1).
$16:(5���(2, ±1)
����C
62/87,21���Start at the origin. To get to point C, go 3 to the left and 2 up. The point is at (±3, 2).
$16:(5���(±3, 2)
����D
62/87,21���Start at the origin. To get to point D, go 3 to the right and 4 up. The point is at (3, 4).
$16:(5���(3, 4)
����E
62/87,21���Start at the origin. To get to point E, go 1 to the right and 3 up. The point is at (1, 3).
$16:(5���(1, 3)
����F
62/87,21���Start at the origin. To get to point F, go 4 to the right and 4 down. The point is at (4, ±4).
$16:(5���(4, ±4)
eSolutions Manual - Powered by Cognero Page 7
6-1 Ratios
Express each ratio as a fraction in simplest form.���12 boys to 16 girls
62/87,21���
$16:(5���
���24 out of 60 light bulbs
62/87,21���
$16:(5���
���36 DVDs out of 84 DVDs
62/87,21���
$16:(5���
���50 tiles to 25 tiles
62/87,21���
$16:(5���
���ACTIVITIES In Mr. Blackwell¶s class, 15 out of 24 students play sports. Express this ratio as a fraction in simplestform. Explain its meaning.
62/87,21���
For every 8 students, 5 participate in sports.
$16:(5���
; For every 8 students, 5 participate in sports
Express each ratio as a fraction in simplest form.���3 pints to 4 quarts
62/87,21���Convert 4 quarts to pints. There are 2 pints in 1 quart.
$16:(5���
���2 pounds to 6 ounces
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
���9 inches to 1 yard
62/87,21���Convert 1 yard to inches. There are 36 inches in 1 yard.
$16:(5���
���6 gallons to 3 quarts
62/87,21���Convert 6 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
Express each ratio as a fraction in simplest form.����9 out of 15 pets
62/87,21���
$16:(5���
����20 wins out of 36 games
62/87,21���
$16:(5���
����4 players to 52 cards
62/87,21���
$16:(5���
����45 out of 60 days
62/87,21���
$16:(5���
����16 pens to 10 pencils
62/87,21���
$16:(5���
����96 people to 3 buses
62/87,21���
$16:(5���
����PIANOS On a full size piano, there are 36 black keys and 52 white keys. Express the ratio of black keys to white keys as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
$16:(5���
; For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
����RESTAURANTS In a restaurant, 72 out of 108 tables are booths. Express the ratio of tables that are booths to the total number of tables as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV
$16:(5���
; For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV�
Express each ratio as a fraction in simplest form.����10 yards to 10 feet
62/87,21���Convert yards to feet. There are 3 feet in 1 yard.
$16:(5���
����4 ounces to 2 pounds
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
����18 quarts to 4 gallons
62/87,21���Convert 4 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
����6 feet to 14 inches
62/87,21���Convert 6 feet to inches. There are 12 inches in 1 foot.
$16:(5���
����STORES A department store conducted a study to determine what age group shops in their store.
a. Express the ratio of people ages 0±17 to people ages 18±30 as a fraction in simplest form. b. Express the ratio of people thirty or under to people over the age of 30 as a fraction in simplest form.c. Express the ratio of people age 18±30 to the total number of people as a fraction in simplest form.
62/87,21���a.
b.
c.
$16:(5���
a.
b.
c.
����WATER PARKS A water park has 14 body slides, 8 tube slides, 2 types of swimming pools, and 6 water play areas. Use this information to write each ratio as a fraction in simplest form. a. body slides : tube slides b. play areas : tube slides c. slides : all attractions d. slides : not slides
62/87,21���a.
b.
c.
d.
$16:(5���
a.
b.
c.
d.
����PHONES A cell phone store displayed the phone below on a poster. The length of the phone on the poster is 3 feet 4 inches. Write a ratio comparing the length of the actual cell phone to length of the cell phone on the poster as a fraction in simplest form.
62/87,21���Convert the length of the actual phone to inches. There are 12 inches in 1 foot, so 3 feet 4 inches is 36 + 4 = 40 inches.
$16:(5���
Solve. Graph your solution on a number line.����3x���������
62/87,21���
$16:(5���x ���
����2n + 5 > 11 ± n
62/87,21���
$16:(5���n > 2
����y �������y + 4
62/87,21���
$16:(5���y ��±1
����16 ± 2c < 14
62/87,21���
$16:(5���c > 1
������������± 2n
62/87,21���
$16:(5���n ��±3
����±3(b ± 1) > 18
62/87,21���
$16:(5���b < ±5
����APPLES More than 2500 varieties of apples are grown in the United States. Write an inequality to describe the apple varieties.
62/87,21���Let a = the number of varieties of apples grown in the United States. So, a > 2500.
$16:(5���a > 2500
Name the ordered pair for each point graphed below.
����A
62/87,21���Start at the origin. To get to point A, go 4 to the left and 3 down. The point is at (±4, ±3).
$16:(5���(±4, ±3)
����B
62/87,21���Start at the origin. To get to point B, go 2 to the right and 1 down. The point is at (2, ±1).
$16:(5���(2, ±1)
����C
62/87,21���Start at the origin. To get to point C, go 3 to the left and 2 up. The point is at (±3, 2).
$16:(5���(±3, 2)
����D
62/87,21���Start at the origin. To get to point D, go 3 to the right and 4 up. The point is at (3, 4).
$16:(5���(3, 4)
����E
62/87,21���Start at the origin. To get to point E, go 1 to the right and 3 up. The point is at (1, 3).
$16:(5���(1, 3)
����F
62/87,21���Start at the origin. To get to point F, go 4 to the right and 4 down. The point is at (4, ±4).
$16:(5���(4, ±4)
eSolutions Manual - Powered by Cognero Page 8
6-1 Ratios
Express each ratio as a fraction in simplest form.���12 boys to 16 girls
62/87,21���
$16:(5���
���24 out of 60 light bulbs
62/87,21���
$16:(5���
���36 DVDs out of 84 DVDs
62/87,21���
$16:(5���
���50 tiles to 25 tiles
62/87,21���
$16:(5���
���ACTIVITIES In Mr. Blackwell¶s class, 15 out of 24 students play sports. Express this ratio as a fraction in simplestform. Explain its meaning.
62/87,21���
For every 8 students, 5 participate in sports.
$16:(5���
; For every 8 students, 5 participate in sports
Express each ratio as a fraction in simplest form.���3 pints to 4 quarts
62/87,21���Convert 4 quarts to pints. There are 2 pints in 1 quart.
$16:(5���
���2 pounds to 6 ounces
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
���9 inches to 1 yard
62/87,21���Convert 1 yard to inches. There are 36 inches in 1 yard.
$16:(5���
���6 gallons to 3 quarts
62/87,21���Convert 6 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
Express each ratio as a fraction in simplest form.����9 out of 15 pets
62/87,21���
$16:(5���
����20 wins out of 36 games
62/87,21���
$16:(5���
����4 players to 52 cards
62/87,21���
$16:(5���
����45 out of 60 days
62/87,21���
$16:(5���
����16 pens to 10 pencils
62/87,21���
$16:(5���
����96 people to 3 buses
62/87,21���
$16:(5���
����PIANOS On a full size piano, there are 36 black keys and 52 white keys. Express the ratio of black keys to white keys as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
$16:(5���
; For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
����RESTAURANTS In a restaurant, 72 out of 108 tables are booths. Express the ratio of tables that are booths to the total number of tables as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV
$16:(5���
; For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV�
Express each ratio as a fraction in simplest form.����10 yards to 10 feet
62/87,21���Convert yards to feet. There are 3 feet in 1 yard.
$16:(5���
����4 ounces to 2 pounds
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
����18 quarts to 4 gallons
62/87,21���Convert 4 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
����6 feet to 14 inches
62/87,21���Convert 6 feet to inches. There are 12 inches in 1 foot.
$16:(5���
����STORES A department store conducted a study to determine what age group shops in their store.
a. Express the ratio of people ages 0±17 to people ages 18±30 as a fraction in simplest form. b. Express the ratio of people thirty or under to people over the age of 30 as a fraction in simplest form.c. Express the ratio of people age 18±30 to the total number of people as a fraction in simplest form.
62/87,21���a.
b.
c.
$16:(5���
a.
b.
c.
����WATER PARKS A water park has 14 body slides, 8 tube slides, 2 types of swimming pools, and 6 water play areas. Use this information to write each ratio as a fraction in simplest form. a. body slides : tube slides b. play areas : tube slides c. slides : all attractions d. slides : not slides
62/87,21���a.
b.
c.
d.
$16:(5���
a.
b.
c.
d.
����PHONES A cell phone store displayed the phone below on a poster. The length of the phone on the poster is 3 feet 4 inches. Write a ratio comparing the length of the actual cell phone to length of the cell phone on the poster as a fraction in simplest form.
62/87,21���Convert the length of the actual phone to inches. There are 12 inches in 1 foot, so 3 feet 4 inches is 36 + 4 = 40 inches.
$16:(5���
Solve. Graph your solution on a number line.����3x���������
62/87,21���
$16:(5���x ���
����2n + 5 > 11 ± n
62/87,21���
$16:(5���n > 2
����y �������y + 4
62/87,21���
$16:(5���y ��±1
����16 ± 2c < 14
62/87,21���
$16:(5���c > 1
������������± 2n
62/87,21���
$16:(5���n ��±3
����±3(b ± 1) > 18
62/87,21���
$16:(5���b < ±5
����APPLES More than 2500 varieties of apples are grown in the United States. Write an inequality to describe the apple varieties.
62/87,21���Let a = the number of varieties of apples grown in the United States. So, a > 2500.
$16:(5���a > 2500
Name the ordered pair for each point graphed below.
����A
62/87,21���Start at the origin. To get to point A, go 4 to the left and 3 down. The point is at (±4, ±3).
$16:(5���(±4, ±3)
����B
62/87,21���Start at the origin. To get to point B, go 2 to the right and 1 down. The point is at (2, ±1).
$16:(5���(2, ±1)
����C
62/87,21���Start at the origin. To get to point C, go 3 to the left and 2 up. The point is at (±3, 2).
$16:(5���(±3, 2)
����D
62/87,21���Start at the origin. To get to point D, go 3 to the right and 4 up. The point is at (3, 4).
$16:(5���(3, 4)
����E
62/87,21���Start at the origin. To get to point E, go 1 to the right and 3 up. The point is at (1, 3).
$16:(5���(1, 3)
����F
62/87,21���Start at the origin. To get to point F, go 4 to the right and 4 down. The point is at (4, ±4).
$16:(5���(4, ±4)
eSolutions Manual - Powered by Cognero Page 9
6-1 Ratios
Express each ratio as a fraction in simplest form.���12 boys to 16 girls
62/87,21���
$16:(5���
���24 out of 60 light bulbs
62/87,21���
$16:(5���
���36 DVDs out of 84 DVDs
62/87,21���
$16:(5���
���50 tiles to 25 tiles
62/87,21���
$16:(5���
���ACTIVITIES In Mr. Blackwell¶s class, 15 out of 24 students play sports. Express this ratio as a fraction in simplestform. Explain its meaning.
62/87,21���
For every 8 students, 5 participate in sports.
$16:(5���
; For every 8 students, 5 participate in sports
Express each ratio as a fraction in simplest form.���3 pints to 4 quarts
62/87,21���Convert 4 quarts to pints. There are 2 pints in 1 quart.
$16:(5���
���2 pounds to 6 ounces
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
���9 inches to 1 yard
62/87,21���Convert 1 yard to inches. There are 36 inches in 1 yard.
$16:(5���
���6 gallons to 3 quarts
62/87,21���Convert 6 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
Express each ratio as a fraction in simplest form.����9 out of 15 pets
62/87,21���
$16:(5���
����20 wins out of 36 games
62/87,21���
$16:(5���
����4 players to 52 cards
62/87,21���
$16:(5���
����45 out of 60 days
62/87,21���
$16:(5���
����16 pens to 10 pencils
62/87,21���
$16:(5���
����96 people to 3 buses
62/87,21���
$16:(5���
����PIANOS On a full size piano, there are 36 black keys and 52 white keys. Express the ratio of black keys to white keys as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
$16:(5���
; For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
����RESTAURANTS In a restaurant, 72 out of 108 tables are booths. Express the ratio of tables that are booths to the total number of tables as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV
$16:(5���
; For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV�
Express each ratio as a fraction in simplest form.����10 yards to 10 feet
62/87,21���Convert yards to feet. There are 3 feet in 1 yard.
$16:(5���
����4 ounces to 2 pounds
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
����18 quarts to 4 gallons
62/87,21���Convert 4 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
����6 feet to 14 inches
62/87,21���Convert 6 feet to inches. There are 12 inches in 1 foot.
$16:(5���
����STORES A department store conducted a study to determine what age group shops in their store.
a. Express the ratio of people ages 0±17 to people ages 18±30 as a fraction in simplest form. b. Express the ratio of people thirty or under to people over the age of 30 as a fraction in simplest form.c. Express the ratio of people age 18±30 to the total number of people as a fraction in simplest form.
62/87,21���a.
b.
c.
$16:(5���
a.
b.
c.
����WATER PARKS A water park has 14 body slides, 8 tube slides, 2 types of swimming pools, and 6 water play areas. Use this information to write each ratio as a fraction in simplest form. a. body slides : tube slides b. play areas : tube slides c. slides : all attractions d. slides : not slides
62/87,21���a.
b.
c.
d.
$16:(5���
a.
b.
c.
d.
����PHONES A cell phone store displayed the phone below on a poster. The length of the phone on the poster is 3 feet 4 inches. Write a ratio comparing the length of the actual cell phone to length of the cell phone on the poster as a fraction in simplest form.
62/87,21���Convert the length of the actual phone to inches. There are 12 inches in 1 foot, so 3 feet 4 inches is 36 + 4 = 40 inches.
$16:(5���
Solve. Graph your solution on a number line.����3x���������
62/87,21���
$16:(5���x ���
����2n + 5 > 11 ± n
62/87,21���
$16:(5���n > 2
����y �������y + 4
62/87,21���
$16:(5���y ��±1
����16 ± 2c < 14
62/87,21���
$16:(5���c > 1
������������± 2n
62/87,21���
$16:(5���n ��±3
����±3(b ± 1) > 18
62/87,21���
$16:(5���b < ±5
����APPLES More than 2500 varieties of apples are grown in the United States. Write an inequality to describe the apple varieties.
62/87,21���Let a = the number of varieties of apples grown in the United States. So, a > 2500.
$16:(5���a > 2500
Name the ordered pair for each point graphed below.
����A
62/87,21���Start at the origin. To get to point A, go 4 to the left and 3 down. The point is at (±4, ±3).
$16:(5���(±4, ±3)
����B
62/87,21���Start at the origin. To get to point B, go 2 to the right and 1 down. The point is at (2, ±1).
$16:(5���(2, ±1)
����C
62/87,21���Start at the origin. To get to point C, go 3 to the left and 2 up. The point is at (±3, 2).
$16:(5���(±3, 2)
����D
62/87,21���Start at the origin. To get to point D, go 3 to the right and 4 up. The point is at (3, 4).
$16:(5���(3, 4)
����E
62/87,21���Start at the origin. To get to point E, go 1 to the right and 3 up. The point is at (1, 3).
$16:(5���(1, 3)
����F
62/87,21���Start at the origin. To get to point F, go 4 to the right and 4 down. The point is at (4, ±4).
$16:(5���(4, ±4)
eSolutions Manual - Powered by Cognero Page 10
6-1 Ratios
Express each ratio as a fraction in simplest form.���12 boys to 16 girls
62/87,21���
$16:(5���
���24 out of 60 light bulbs
62/87,21���
$16:(5���
���36 DVDs out of 84 DVDs
62/87,21���
$16:(5���
���50 tiles to 25 tiles
62/87,21���
$16:(5���
���ACTIVITIES In Mr. Blackwell¶s class, 15 out of 24 students play sports. Express this ratio as a fraction in simplestform. Explain its meaning.
62/87,21���
For every 8 students, 5 participate in sports.
$16:(5���
; For every 8 students, 5 participate in sports
Express each ratio as a fraction in simplest form.���3 pints to 4 quarts
62/87,21���Convert 4 quarts to pints. There are 2 pints in 1 quart.
$16:(5���
���2 pounds to 6 ounces
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
���9 inches to 1 yard
62/87,21���Convert 1 yard to inches. There are 36 inches in 1 yard.
$16:(5���
���6 gallons to 3 quarts
62/87,21���Convert 6 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
Express each ratio as a fraction in simplest form.����9 out of 15 pets
62/87,21���
$16:(5���
����20 wins out of 36 games
62/87,21���
$16:(5���
����4 players to 52 cards
62/87,21���
$16:(5���
����45 out of 60 days
62/87,21���
$16:(5���
����16 pens to 10 pencils
62/87,21���
$16:(5���
����96 people to 3 buses
62/87,21���
$16:(5���
����PIANOS On a full size piano, there are 36 black keys and 52 white keys. Express the ratio of black keys to white keys as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
$16:(5���
; For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
����RESTAURANTS In a restaurant, 72 out of 108 tables are booths. Express the ratio of tables that are booths to the total number of tables as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV
$16:(5���
; For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV�
Express each ratio as a fraction in simplest form.����10 yards to 10 feet
62/87,21���Convert yards to feet. There are 3 feet in 1 yard.
$16:(5���
����4 ounces to 2 pounds
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
����18 quarts to 4 gallons
62/87,21���Convert 4 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
����6 feet to 14 inches
62/87,21���Convert 6 feet to inches. There are 12 inches in 1 foot.
$16:(5���
����STORES A department store conducted a study to determine what age group shops in their store.
a. Express the ratio of people ages 0±17 to people ages 18±30 as a fraction in simplest form. b. Express the ratio of people thirty or under to people over the age of 30 as a fraction in simplest form.c. Express the ratio of people age 18±30 to the total number of people as a fraction in simplest form.
62/87,21���a.
b.
c.
$16:(5���
a.
b.
c.
����WATER PARKS A water park has 14 body slides, 8 tube slides, 2 types of swimming pools, and 6 water play areas. Use this information to write each ratio as a fraction in simplest form. a. body slides : tube slides b. play areas : tube slides c. slides : all attractions d. slides : not slides
62/87,21���a.
b.
c.
d.
$16:(5���
a.
b.
c.
d.
����PHONES A cell phone store displayed the phone below on a poster. The length of the phone on the poster is 3 feet 4 inches. Write a ratio comparing the length of the actual cell phone to length of the cell phone on the poster as a fraction in simplest form.
62/87,21���Convert the length of the actual phone to inches. There are 12 inches in 1 foot, so 3 feet 4 inches is 36 + 4 = 40 inches.
$16:(5���
Solve. Graph your solution on a number line.����3x���������
62/87,21���
$16:(5���x ���
����2n + 5 > 11 ± n
62/87,21���
$16:(5���n > 2
����y �������y + 4
62/87,21���
$16:(5���y ��±1
����16 ± 2c < 14
62/87,21���
$16:(5���c > 1
������������± 2n
62/87,21���
$16:(5���n ��±3
����±3(b ± 1) > 18
62/87,21���
$16:(5���b < ±5
����APPLES More than 2500 varieties of apples are grown in the United States. Write an inequality to describe the apple varieties.
62/87,21���Let a = the number of varieties of apples grown in the United States. So, a > 2500.
$16:(5���a > 2500
Name the ordered pair for each point graphed below.
����A
62/87,21���Start at the origin. To get to point A, go 4 to the left and 3 down. The point is at (±4, ±3).
$16:(5���(±4, ±3)
����B
62/87,21���Start at the origin. To get to point B, go 2 to the right and 1 down. The point is at (2, ±1).
$16:(5���(2, ±1)
����C
62/87,21���Start at the origin. To get to point C, go 3 to the left and 2 up. The point is at (±3, 2).
$16:(5���(±3, 2)
����D
62/87,21���Start at the origin. To get to point D, go 3 to the right and 4 up. The point is at (3, 4).
$16:(5���(3, 4)
����E
62/87,21���Start at the origin. To get to point E, go 1 to the right and 3 up. The point is at (1, 3).
$16:(5���(1, 3)
����F
62/87,21���Start at the origin. To get to point F, go 4 to the right and 4 down. The point is at (4, ±4).
$16:(5���(4, ±4)
eSolutions Manual - Powered by Cognero Page 11
6-1 Ratios
Express each ratio as a fraction in simplest form.���12 boys to 16 girls
62/87,21���
$16:(5���
���24 out of 60 light bulbs
62/87,21���
$16:(5���
���36 DVDs out of 84 DVDs
62/87,21���
$16:(5���
���50 tiles to 25 tiles
62/87,21���
$16:(5���
���ACTIVITIES In Mr. Blackwell¶s class, 15 out of 24 students play sports. Express this ratio as a fraction in simplestform. Explain its meaning.
62/87,21���
For every 8 students, 5 participate in sports.
$16:(5���
; For every 8 students, 5 participate in sports
Express each ratio as a fraction in simplest form.���3 pints to 4 quarts
62/87,21���Convert 4 quarts to pints. There are 2 pints in 1 quart.
$16:(5���
���2 pounds to 6 ounces
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
���9 inches to 1 yard
62/87,21���Convert 1 yard to inches. There are 36 inches in 1 yard.
$16:(5���
���6 gallons to 3 quarts
62/87,21���Convert 6 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
Express each ratio as a fraction in simplest form.����9 out of 15 pets
62/87,21���
$16:(5���
����20 wins out of 36 games
62/87,21���
$16:(5���
����4 players to 52 cards
62/87,21���
$16:(5���
����45 out of 60 days
62/87,21���
$16:(5���
����16 pens to 10 pencils
62/87,21���
$16:(5���
����96 people to 3 buses
62/87,21���
$16:(5���
����PIANOS On a full size piano, there are 36 black keys and 52 white keys. Express the ratio of black keys to white keys as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
$16:(5���
; For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
����RESTAURANTS In a restaurant, 72 out of 108 tables are booths. Express the ratio of tables that are booths to the total number of tables as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV
$16:(5���
; For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV�
Express each ratio as a fraction in simplest form.����10 yards to 10 feet
62/87,21���Convert yards to feet. There are 3 feet in 1 yard.
$16:(5���
����4 ounces to 2 pounds
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
����18 quarts to 4 gallons
62/87,21���Convert 4 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
����6 feet to 14 inches
62/87,21���Convert 6 feet to inches. There are 12 inches in 1 foot.
$16:(5���
����STORES A department store conducted a study to determine what age group shops in their store.
a. Express the ratio of people ages 0±17 to people ages 18±30 as a fraction in simplest form. b. Express the ratio of people thirty or under to people over the age of 30 as a fraction in simplest form.c. Express the ratio of people age 18±30 to the total number of people as a fraction in simplest form.
62/87,21���a.
b.
c.
$16:(5���
a.
b.
c.
����WATER PARKS A water park has 14 body slides, 8 tube slides, 2 types of swimming pools, and 6 water play areas. Use this information to write each ratio as a fraction in simplest form. a. body slides : tube slides b. play areas : tube slides c. slides : all attractions d. slides : not slides
62/87,21���a.
b.
c.
d.
$16:(5���
a.
b.
c.
d.
����PHONES A cell phone store displayed the phone below on a poster. The length of the phone on the poster is 3 feet 4 inches. Write a ratio comparing the length of the actual cell phone to length of the cell phone on the poster as a fraction in simplest form.
62/87,21���Convert the length of the actual phone to inches. There are 12 inches in 1 foot, so 3 feet 4 inches is 36 + 4 = 40 inches.
$16:(5���
Solve. Graph your solution on a number line.����3x���������
62/87,21���
$16:(5���x ���
����2n + 5 > 11 ± n
62/87,21���
$16:(5���n > 2
����y �������y + 4
62/87,21���
$16:(5���y ��±1
����16 ± 2c < 14
62/87,21���
$16:(5���c > 1
������������± 2n
62/87,21���
$16:(5���n ��±3
����±3(b ± 1) > 18
62/87,21���
$16:(5���b < ±5
����APPLES More than 2500 varieties of apples are grown in the United States. Write an inequality to describe the apple varieties.
62/87,21���Let a = the number of varieties of apples grown in the United States. So, a > 2500.
$16:(5���a > 2500
Name the ordered pair for each point graphed below.
����A
62/87,21���Start at the origin. To get to point A, go 4 to the left and 3 down. The point is at (±4, ±3).
$16:(5���(±4, ±3)
����B
62/87,21���Start at the origin. To get to point B, go 2 to the right and 1 down. The point is at (2, ±1).
$16:(5���(2, ±1)
����C
62/87,21���Start at the origin. To get to point C, go 3 to the left and 2 up. The point is at (±3, 2).
$16:(5���(±3, 2)
����D
62/87,21���Start at the origin. To get to point D, go 3 to the right and 4 up. The point is at (3, 4).
$16:(5���(3, 4)
����E
62/87,21���Start at the origin. To get to point E, go 1 to the right and 3 up. The point is at (1, 3).
$16:(5���(1, 3)
����F
62/87,21���Start at the origin. To get to point F, go 4 to the right and 4 down. The point is at (4, ±4).
$16:(5���(4, ±4)
eSolutions Manual - Powered by Cognero Page 12
6-1 Ratios
Express each ratio as a fraction in simplest form.���12 boys to 16 girls
62/87,21���
$16:(5���
���24 out of 60 light bulbs
62/87,21���
$16:(5���
���36 DVDs out of 84 DVDs
62/87,21���
$16:(5���
���50 tiles to 25 tiles
62/87,21���
$16:(5���
���ACTIVITIES In Mr. Blackwell¶s class, 15 out of 24 students play sports. Express this ratio as a fraction in simplestform. Explain its meaning.
62/87,21���
For every 8 students, 5 participate in sports.
$16:(5���
; For every 8 students, 5 participate in sports
Express each ratio as a fraction in simplest form.���3 pints to 4 quarts
62/87,21���Convert 4 quarts to pints. There are 2 pints in 1 quart.
$16:(5���
���2 pounds to 6 ounces
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
���9 inches to 1 yard
62/87,21���Convert 1 yard to inches. There are 36 inches in 1 yard.
$16:(5���
���6 gallons to 3 quarts
62/87,21���Convert 6 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
Express each ratio as a fraction in simplest form.����9 out of 15 pets
62/87,21���
$16:(5���
����20 wins out of 36 games
62/87,21���
$16:(5���
����4 players to 52 cards
62/87,21���
$16:(5���
����45 out of 60 days
62/87,21���
$16:(5���
����16 pens to 10 pencils
62/87,21���
$16:(5���
����96 people to 3 buses
62/87,21���
$16:(5���
����PIANOS On a full size piano, there are 36 black keys and 52 white keys. Express the ratio of black keys to white keys as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
$16:(5���
; For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
����RESTAURANTS In a restaurant, 72 out of 108 tables are booths. Express the ratio of tables that are booths to the total number of tables as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV
$16:(5���
; For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV�
Express each ratio as a fraction in simplest form.����10 yards to 10 feet
62/87,21���Convert yards to feet. There are 3 feet in 1 yard.
$16:(5���
����4 ounces to 2 pounds
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
����18 quarts to 4 gallons
62/87,21���Convert 4 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
����6 feet to 14 inches
62/87,21���Convert 6 feet to inches. There are 12 inches in 1 foot.
$16:(5���
����STORES A department store conducted a study to determine what age group shops in their store.
a. Express the ratio of people ages 0±17 to people ages 18±30 as a fraction in simplest form. b. Express the ratio of people thirty or under to people over the age of 30 as a fraction in simplest form.c. Express the ratio of people age 18±30 to the total number of people as a fraction in simplest form.
62/87,21���a.
b.
c.
$16:(5���
a.
b.
c.
����WATER PARKS A water park has 14 body slides, 8 tube slides, 2 types of swimming pools, and 6 water play areas. Use this information to write each ratio as a fraction in simplest form. a. body slides : tube slides b. play areas : tube slides c. slides : all attractions d. slides : not slides
62/87,21���a.
b.
c.
d.
$16:(5���
a.
b.
c.
d.
����PHONES A cell phone store displayed the phone below on a poster. The length of the phone on the poster is 3 feet 4 inches. Write a ratio comparing the length of the actual cell phone to length of the cell phone on the poster as a fraction in simplest form.
62/87,21���Convert the length of the actual phone to inches. There are 12 inches in 1 foot, so 3 feet 4 inches is 36 + 4 = 40 inches.
$16:(5���
Solve. Graph your solution on a number line.����3x���������
62/87,21���
$16:(5���x ���
����2n + 5 > 11 ± n
62/87,21���
$16:(5���n > 2
����y �������y + 4
62/87,21���
$16:(5���y ��±1
����16 ± 2c < 14
62/87,21���
$16:(5���c > 1
������������± 2n
62/87,21���
$16:(5���n ��±3
����±3(b ± 1) > 18
62/87,21���
$16:(5���b < ±5
����APPLES More than 2500 varieties of apples are grown in the United States. Write an inequality to describe the apple varieties.
62/87,21���Let a = the number of varieties of apples grown in the United States. So, a > 2500.
$16:(5���a > 2500
Name the ordered pair for each point graphed below.
����A
62/87,21���Start at the origin. To get to point A, go 4 to the left and 3 down. The point is at (±4, ±3).
$16:(5���(±4, ±3)
����B
62/87,21���Start at the origin. To get to point B, go 2 to the right and 1 down. The point is at (2, ±1).
$16:(5���(2, ±1)
����C
62/87,21���Start at the origin. To get to point C, go 3 to the left and 2 up. The point is at (±3, 2).
$16:(5���(±3, 2)
����D
62/87,21���Start at the origin. To get to point D, go 3 to the right and 4 up. The point is at (3, 4).
$16:(5���(3, 4)
����E
62/87,21���Start at the origin. To get to point E, go 1 to the right and 3 up. The point is at (1, 3).
$16:(5���(1, 3)
����F
62/87,21���Start at the origin. To get to point F, go 4 to the right and 4 down. The point is at (4, ±4).
$16:(5���(4, ±4)
eSolutions Manual - Powered by Cognero Page 13
6-1 Ratios
Express each ratio as a fraction in simplest form.���12 boys to 16 girls
62/87,21���
$16:(5���
���24 out of 60 light bulbs
62/87,21���
$16:(5���
���36 DVDs out of 84 DVDs
62/87,21���
$16:(5���
���50 tiles to 25 tiles
62/87,21���
$16:(5���
���ACTIVITIES In Mr. Blackwell¶s class, 15 out of 24 students play sports. Express this ratio as a fraction in simplestform. Explain its meaning.
62/87,21���
For every 8 students, 5 participate in sports.
$16:(5���
; For every 8 students, 5 participate in sports
Express each ratio as a fraction in simplest form.���3 pints to 4 quarts
62/87,21���Convert 4 quarts to pints. There are 2 pints in 1 quart.
$16:(5���
���2 pounds to 6 ounces
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
���9 inches to 1 yard
62/87,21���Convert 1 yard to inches. There are 36 inches in 1 yard.
$16:(5���
���6 gallons to 3 quarts
62/87,21���Convert 6 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
Express each ratio as a fraction in simplest form.����9 out of 15 pets
62/87,21���
$16:(5���
����20 wins out of 36 games
62/87,21���
$16:(5���
����4 players to 52 cards
62/87,21���
$16:(5���
����45 out of 60 days
62/87,21���
$16:(5���
����16 pens to 10 pencils
62/87,21���
$16:(5���
����96 people to 3 buses
62/87,21���
$16:(5���
����PIANOS On a full size piano, there are 36 black keys and 52 white keys. Express the ratio of black keys to white keys as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
$16:(5���
; For every 13 white keys there are 9 black keys or �RI�WKH�NH\V�DUH�EODFN�
����RESTAURANTS In a restaurant, 72 out of 108 tables are booths. Express the ratio of tables that are booths to the total number of tables as a fraction in simplest form. Explain its meaning.
62/87,21���
For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV
$16:(5���
; For every 3 tables, 2 are booths or �RI�WKH�WDEOHV�DUH�ERRWKV�
Express each ratio as a fraction in simplest form.����10 yards to 10 feet
62/87,21���Convert yards to feet. There are 3 feet in 1 yard.
$16:(5���
����4 ounces to 2 pounds
62/87,21���Convert 2 pounds to ounces. There are 16 ounces in 1 pound.
$16:(5���
����18 quarts to 4 gallons
62/87,21���Convert 4 gallons to quarts. There are 4 quarts in 1 gallon.
$16:(5���
����6 feet to 14 inches
62/87,21���Convert 6 feet to inches. There are 12 inches in 1 foot.
$16:(5���
����STORES A department store conducted a study to determine what age group shops in their store.
a. Express the ratio of people ages 0±17 to people ages 18±30 as a fraction in simplest form. b. Express the ratio of people thirty or under to people over the age of 30 as a fraction in simplest form.c. Express the ratio of people age 18±30 to the total number of people as a fraction in simplest form.
62/87,21���a.
b.
c.
$16:(5���
a.
b.
c.
����WATER PARKS A water park has 14 body slides, 8 tube slides, 2 types of swimming pools, and 6 water play areas. Use this information to write each ratio as a fraction in simplest form. a. body slides : tube slides b. play areas : tube slides c. slides : all attractions d. slides : not slides
62/87,21���a.
b.
c.
d.
$16:(5���
a.
b.
c.
d.
����PHONES A cell phone store displayed the phone below on a poster. The length of the phone on the poster is 3 feet 4 inches. Write a ratio comparing the length of the actual cell phone to length of the cell phone on the poster as a fraction in simplest form.
62/87,21���Convert the length of the actual phone to inches. There are 12 inches in 1 foot, so 3 feet 4 inches is 36 + 4 = 40 inches.
$16:(5���
Solve. Graph your solution on a number line.����3x���������
62/87,21���
$16:(5���x ���
����2n + 5 > 11 ± n
62/87,21���
$16:(5���n > 2
����y �������y + 4
62/87,21���
$16:(5���y ��±1
����16 ± 2c < 14
62/87,21���
$16:(5���c > 1
������������± 2n
62/87,21���
$16:(5���n ��±3
����±3(b ± 1) > 18
62/87,21���
$16:(5���b < ±5
����APPLES More than 2500 varieties of apples are grown in the United States. Write an inequality to describe the apple varieties.
62/87,21���Let a = the number of varieties of apples grown in the United States. So, a > 2500.
$16:(5���a > 2500
Name the ordered pair for each point graphed below.
����A
62/87,21���Start at the origin. To get to point A, go 4 to the left and 3 down. The point is at (±4, ±3).
$16:(5���(±4, ±3)
����B
62/87,21���Start at the origin. To get to point B, go 2 to the right and 1 down. The point is at (2, ±1).
$16:(5���(2, ±1)
����C
62/87,21���Start at the origin. To get to point C, go 3 to the left and 2 up. The point is at (±3, 2).
$16:(5���(±3, 2)
����D
62/87,21���Start at the origin. To get to point D, go 3 to the right and 4 up. The point is at (3, 4).
$16:(5���(3, 4)
����E
62/87,21���Start at the origin. To get to point E, go 1 to the right and 3 up. The point is at (1, 3).
$16:(5���(1, 3)
����F
62/87,21���Start at the origin. To get to point F, go 4 to the right and 4 down. The point is at (4, ±4).
$16:(5���(4, ±4)
eSolutions Manual - Powered by Cognero Page 14
6-1 Ratios
