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Name _______________________________________ Date __________________ Score _________________ Homework #14 (due Thursday 12.4.14) Place your answers to questions 1 – 17 on this page. Make sure to transfer the correct answer to the correct number. 1. 1st ________2nd _________3rd__________ 2. 1st ________2nd _________3rd__________ 3. 13. sugar 3 milk 2 6 18 8 20 1st ________2nd _________3rd__________ 14.__________________________ 4. 1st ________2nd _________3rd__________ __________________________ 5. 1st ________2nd _________3rd__________ __________________________ 6. a__________b________ __________________________ 7. ____________________ __________________________ 8. ____________________ __________________________ 9. __________ 15._________ 10.__________ 16._________ 11.__________ 17.a.__________b.__________ 12.a_______b.________c._______ c. Café A:____________ c. Café B:_____________ LESSON Ratios 7-1 Practice and Problem Solving: A/B The number of animals at the zoo is shown in the table. Write each ratio in three different ways. 1. lions to elephants Animals in the Zoo 1st __________2nd ___________3rd___________ 2. giraffes to otters 1st __________2nd ___________3rd___________ 3. lions to seals Elephants 12 Giraffes 8 Lions 9 Seals 10 Otters 16 1st __________2nd ___________3rd___________ 4. seals to elephants 1st __________2nd ___________3rd___________ 5. elephants to lions 1st __________2nd ___________3rd___________ 6. The ratio of clown fish to angel fish at a pet store is 5:4. The ratio of angel fish to goldfish is 4:3. There are 60 clown fish at the pet store. a. How many angel fish are there? _________________ b. How many goldfish are there? _________________ Find three ratios equivalent to the ratio described in each situation. Use a ratio table to help find the equivalent ratios. 7. The ratio of cats to dogs in a park is 3 to 4. _________________ 8. The ratio of rainy days to sunny days is 5 . _________________ 7 Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 128 LESSON 7-2 Rates Practice and Problem Solving: A/B Find the unit (one) rate. Use a ratio to help you determine the unit rate. 9. David drove 135 miles in 3 hours. ___________________________ 10. Three medium apples have about 285 calories. ___________________________ 11. A 13-ounce package of pistachios costs $5.98. ___________________________ Find the unit rate to the nearest cent per ounce. Compare. 12. a. A 24-ounce box of cornflakes costs $4.56. ___________________________ b. A 36-ounce box of cornflakes costs $5.76. ___________________________ c. Which is the better buy? ___________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 129 Using Ratios and Rates to Solve Problems LESSON 7-3 Practice and Problem Solving: A/B Solve using ratios. 13. Mark is using the ratio of 3 tablespoons of sugar to 2 tablespoons of milk in a recipe. Complete the table to show equivalent ratios if Mark decides to increase the recipe. sugar 3 milk 2 6 18 8 20 14. A school cafeteria makes cheese sauce for macaroni using 15 cups of Swiss cheese and 20 cups of cheddar cheese. Perry tries to make the sauce for a family party using 5 cups of Swiss and 7 cups of cheddar. Is Perry using the correct ratio? Explain. ___________________________ ________________________________________________________________________________________ 15. The chess club members bought 6 tickets to a tournament for $15. How much would they have paid if all 8 members wanted to go? _________________ 16. The Khan’s car averages 22 miles per gallon of gas. Predict how far they can travel on 5 gallons of gas. _________________ 17. Cafe A offers 2 free bottled waters or juices for every 20 purchased. Cafe B offers 3 free bottled waters or juices for every 25 purchased. a. What is Cafe A’s ratio of free drinks to purchased drinks? _________________ b. What is Cafe B’s ratio of free drinks to purchased drinks? _________________ c. If you purchased 50 drinks at each café, how many free drinks would you get? _____________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 130