Lesson Menu Main Idea Example 1:Real-World Example: Solve Ratio Problems Example 2:Real-World...

Main Idea

Example 1:Real-World Example: Solve RatioProblems

Example 2:Real-World Example: Solve RatioProblems

Example 3:Real-World Example: Solve RateProblems

• Solve problems using ratios and rates.

CLUBS Pine Hill Middle School has 300 students. In Zoey’s class, two out of five students belong to a club. Use this ratio to predict how many students at Pine Hill Middle School belong to a club.

Method 1 Use a bar diagram.

Solve Ratio Problems

Step 1 Draw a bar diagram.

There are 60 + 60 or 120 students in two sections.

Step 2 Determine how many students are in eachsection.

Method 2 Use equivalent fractions.

Write an equivalent ratio.

in a clubtotal

?___25

300= in a club

120_____

Since 5 60 = 300, multiply 2 by 60.

Answer: So, you can predict that 120 studentsbelong to a club.

FOOD In a survey, seven out of ten people preferred apple pie over cherry pie. There are 250 people shopping at the grocery store. Use the survey to predict how many people in the store would prefer apple pie.

A. 125 people

B. 150 people

C. 170 people

D. 175 people

SPORTS In a survey, the ratio of students who prefer soccer to baseball is 2 to 3. The number of people who prefer soccer is 36. How many people in the survey prefer baseball?

There are 18 + 18 + 18 or 54 people in the survey who prefer baseball.

Step 2 Determine how many people are in eachsection.

________23

Method 2 Use equivalent fractions.

Write an equivalent ratio.

Since 2 18 = 36, multiply 3 by 18.

soccerbaseball

Answer: So, 54 people in the survey prefer baseball.

LUNCH PERIODS A survey found that 5 out of every 8 students would prefer an earlier lunch period. If 120 students chose an earlier lunch on the survey, how many students took the survey?

A. 75 people

B. 120 people

C. 192 people

D. 960 people

PET FOOD There are 57 ounces of dog biscuits in 5 boxes. At this rate, how many ounces of dog biscuits are in 8 boxes?

Solve Rate Problems

Step 2 Determine the number of ounces in eachsection.

Step 3 Determine the number of ounces that arein 8 boxes.

Solve Rate Problems

Method 2 Use a unit rate.

Step 1 Find the unit rate.

=____________57 ounces5 boxes

___________? ounces1 box

=____________57 ounces5 boxes

___________11.4 ounces1 box

Solve Rate Problems

Step 2 Multiply.

11.4 ounces1 box

______________ × 8 boxes = 91.2 ounces

Answer: So, there are 91.2 ounces in 8 boxes ofdog biscuits.

COOKING A recipe for lasagna calls for 15 ounces of ricotta cheese for 12 servings. How many ounces of cheese are needed for 20 servings?

A. 16 ounces

B. 25 ounces

C. 60 ounces

D. 180 ounces

Lesson Menu Main Idea Example 1:Real-World Example: Solve Ratio Problems Example 2:Real-World...

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