Word ProblemsWord Problems

Quiz ~ ReviewQuiz ~ Review

1) At the Apple Orchard, tickets for 1) At the Apple Orchard, tickets for adults cost $4.00 and $2.50 for adults cost $4.00 and $2.50 for students. How many of each kind students. How many of each kind of tickets were purchased if 125 of tickets were purchased if 125 tickets were bought for $413?tickets were bought for $413?

2) You invest $10,000. Part at 5% and 2) You invest $10,000. Part at 5% and the rest at 7%. If you make $620 in the rest at 7%. If you make $620 in annual interest how much did you annual interest how much did you invest at each rate?invest at each rate?

1) At the Apple Orchard, tickets for adults 1) At the Apple Orchard, tickets for adults cost $4.00 and $2.50 for students. How cost $4.00 and $2.50 for students. How many of each kind of tickets were many of each kind of tickets were purchased if 125 tickets were bought for purchased if 125 tickets were bought for $413?$413? QQ VV TT

AA xx 44 4x4x

SS 125 – x 125 – x 2.52.5 2.5(125 – 2.5(125 – x)x)

413413

4x + 2.5(125 – x) = 4134x + 2.5(125 – x) = 413

67

58

2) You invest $10,000. Part at 5% and the 2) You invest $10,000. Part at 5% and the rest at 7%. If you make $620 in annual rest at 7%. If you make $620 in annual interest how much did you invest at each interest how much did you invest at each rate.rate.

PP RR TT II

5%5% xx .0.055

.05x.05x

7%7% 10,000 – 10,000 – x x

.0.077

.07(10000 – x).07(10000 – x)

620620

.05x + .07(10000 – x) = 620.05x + .07(10000 – x) = 620

$4000

$6000

3) Mitch left Miami at 11 am and drove to 3) Mitch left Miami at 11 am and drove to Tampa at 55 mph. Ashley left Miami at 2 Tampa at 55 mph. Ashley left Miami at 2 pm and traveled the same route. They pm and traveled the same route. They both arrived at 7 pm. How fast was both arrived at 7 pm. How fast was Ashley driving?Ashley driving?

3) Mitch left Miami at 11 am and drove to 3) Mitch left Miami at 11 am and drove to Tampa at 55 mph. Ashley left Miami at 2 Tampa at 55 mph. Ashley left Miami at 2 pm and traveled the same route. They pm and traveled the same route. They both arrived at 7 pm. How fast was both arrived at 7 pm. How fast was Ashley driving?Ashley driving?

RR TT DD

M M

5555 88 440440

AA RR 55 5R5R

5R = 4405R = 440R = 88 mph

4) You have 53 coins consisting of 4) You have 53 coins consisting of nickels and dimes. They total nickels and dimes. They total $3.55. How many nickels and $3.55. How many nickels and dimes do you have?dimes do you have?

5) You invest $12,000. Part at 8% and 5) You invest $12,000. Part at 8% and the rest at 11%. If you make $1110 the rest at 11%. If you make $1110 in annual interest how much did in annual interest how much did you invest at each rate?you invest at each rate?

4) You have 53 coins consisting of nickels 4) You have 53 coins consisting of nickels and dimes. They total $3.55. How many and dimes. They total $3.55. How many nickels and dimes do you have?nickels and dimes do you have?

QQ VV TT

N N

xx 55 5x5x

DD 53 – x 53 – x 1010 10(53 – 10(53 – x)x)

355355

5x + 10(53 – x) = 3555x + 10(53 – x) = 355

35

18

5) You invest $12,000. Part at 8% and the 5) You invest $12,000. Part at 8% and the rest at 11%. If you make $1110 in annual rest at 11%. If you make $1110 in annual interest how much did you invest at each interest how much did you invest at each rate.rate.

PP RR TT II

8%8% XX .08.08 .08x.08x

1111%%

12,000 – 12,000 – x x

.11.11 .11(12000 – x).11(12000 – x)

11101110

.08x + .11(12000 – x) = 1110.08x + .11(12000 – x) = 1110

$7000

$5000

6) Two boats start at the same time. 6) Two boats start at the same time. One goes up the Mississippi at 28 One goes up the Mississippi at 28 mph and the other down the river at mph and the other down the river at 42 mph. 42 mph. A.A. How long until they are 210 miles apart? How long until they are 210 miles apart?

B. How far has each boat traveled?B. How far has each boat traveled?

7) Train one travels at 60 mph and 7) Train one travels at 60 mph and train two travels at 75 mph. Train train two travels at 75 mph. Train two left 2 hours after train one. How two left 2 hours after train one. How long until the train 2 passes train long until the train 2 passes train one.one.

6) Two boats start at the same time. One 6) Two boats start at the same time. One goes up the Mississippi at 28 mph and goes up the Mississippi at 28 mph and the other down the river at 42 mph. the other down the river at 42 mph. A.A. How long until they are 210 miles apart?How long until they are 210 miles apart?

B. How far has each boat traveled?B. How far has each boat traveled?

RR TT DD

B1 B1

2828 tt 28t28t

B2B2 42 42 tt 42t42t

28t + 42t = 21028t + 42t = 210210210

Time = 3 hours

84

126

7) Train one travels at 60 mph and train two 7) Train one travels at 60 mph and train two travels at 75 mph. Train two left 2 hours travels at 75 mph. Train two left 2 hours after train one. How long until the train 2 after train one. How long until the train 2 passes train one.passes train one.

RR TT DD

T1 T1

6060 tt 60t60t

T2T2 75 75 t – 2 t – 2 75(t – 2)75(t – 2)

60t = 75(t – 2)60t = 75(t – 2)Time = 10 hours after train 1

10

8