2. Lesson Menu Main Idea Example 1:Real-World Example: Solve Ratio Problems Example 2:Real-World Example: Solve Ratio Problems Example 3:Real-World Example: Solve Rate Problems

3. Main Idea/Vocabulary Solve problems using ratios and rates.

4. Example 1 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 1Use a bar diagram. Solve Ratio Problems Step 1Draw a bar diagram.

5. Example 1 There are 60 + 60 or 120 students in two sections. Solve Ratio Problems Step 2Determine how many students are in each section.

6. Example 1 Solve Ratio Problems Method 2Use equivalent fractions. Write an equivalent ratio. in a club total ? ___ 2 5 _____ 300 = in a club total ___ 2 5 120 _____ 300 = ×60 Since 5  60 = 300, multiply 2 by 60. Answer: So, you can predict that 120 students belong to a club.

7. Example 1 CYP 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

8. Example 2 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? Solve Ratio Problems Method 1Use a bar diagram. Step 1Draw a bar diagram.

9. Example 2 Solve Ratio Problems There are 18 + 18 + 18 or 54 people in the survey who prefer baseball. Step 2Determine how many people are in each section.

10. ________ 2 3 36 54 = Example 2 Solve Ratio Problems Method 2Use equivalent fractions. Write an equivalent ratio. ×18 Since 2  18 = 36, multiply 3 by 18. soccer baseball soccer baseball ___ 2 3 _____ ? = 36 Answer: So, 54 people in the survey prefer baseball.

11. Example 2 CYP 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

12. Example 3 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 Method 1Use a bar diagram. Step 1Draw a bar diagram.

13. Example 3 Solve Rate Problems Step 2Determine the number of ounces in each section. Step 3Determine the number of ounces that are in 8 boxes.

14. Example 3 Solve Rate Problems Method 2Use a unit rate. Step 1Find the unit rate. = ____________ 57 ounces 5 boxes ___________ ? ounces 1 box = ____________ 57 ounces 5 boxes ___________ 11.4 ounces 1 box ÷5

15. Example 3 Solve Rate Problems Step 2Multiply. 11.4 ounces 1 box ______________ × 8 boxes = 91.2 ounces Answer: So, there are 91.2 ounces in 8 boxes of dog biscuits.

16. Example 3 CYP 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