Name: ____________________________________ Grade 7 hw (20 pts) CCS 7.RP.2 ratios and proportions 1. Express the ratio of 500 miles to 50 gallons of gas as a unit rate. Answer: miles per gallon 2. A wholesaler received $5,000.00 for 50 raincoats. How much did the wholesaler get for each raincoat? Answer: $ per raincoat 3. Bo and Luke are driving to Uncle Jesse’s house. Their car, the General Lee, can go nearly 208 miles on 13 gallons of gas. They only have 3 gallons of gas left in the tank, but they are 42 miles from Uncle Jesse’s. How far can the General Lee go on the 3 gallons of gas it has in its tank? miles Does the General Lee have enough gas to make to Uncle Jesse’s house? Answer Y for Yes or N for No: 4. The ratio of teachers to students at Washington Middle School is 1:15. If 900 students attend the middle school, how many teachers are there? Answer: 5. It takes Jessica 1 teachers hours to write 3 pages of her research paper. If she has to have a total of 10 pages, how long will it take Jessica to write the entire research paper? Answer: hours 6. If the volume of a jug of water is 200 ounces, how many quarts does the jug contain? Answer: quarts 7. Express the ratio of 300 miles to 4 hours as a unit rate. Answer: miles per hour 8. Josh paid $9,000.00 for 1,500 chairs for his restaurant. How much did Josh pay for each chair? Answer: $ per chair 9. Lina bought a twenty-ounce bag of Yummios for $2.39. What is the price per ounce, rounded to the nearest cent? Answer: $ per ounce 10. Kyle drove his car 250 miles on 20 gallons of gas. How many miles per gallon did Kyle average? Answer: miles per gallon 11. The table below shows the amount of sugar needed to make cookies. Amount of Cookies Amount of Sugar dozen 1 cup dozen 2 dozen 6 dozen 1 cup 1 cups ? If the amount of sugar needed is proportional to the amount of cookies being made, how many cups of sugar are needed for 6 dozen cookies? Answer: To make 6 dozen cookies, you will need cups of sugar. 12. Stacy went to the store to purchase some fruit. She saw that she could buy 5 apples for $1.35. Stacy has $2.97. At most, how many apples could Stacy buy? Answer: 13. In a survey apples people said they preferred Super Cola to Basic Cola. If the survey is accurate, how many people out of 1000 would you expect to prefer Super Cola? Answer: people 14. Phil paid $32.00 for 10 pounds of jellybeans. How much did Phil pay per pound? Answer: $ per pound 15. A cart travels a distance of 3.6 meters in 1.8 seconds. The average speed of the cart is: Answer: meters per second. 16. Jenna is buying a box of girl scout cookies. She knows that there are 30 cookies in the box. The price of the box is $3.60. Jenna uses the following proportion to find how much 7 of the cookies cost from that box. Help Jenna decide what values need to be substituted for each of the variables. * Enter money values as cents; for example, $1.75 = 175 cents x = cookies y = cents z = cents 17. Solve the proportion for b: Answer: b = 18. If one acre of land is equal to 4840 square yards, how many square feet are in one acre? Answer: square feet 19. Barry can buy a dozen roses for $19.99 at the florist. To the nearest cent, how much would it cost Barry to buy 18 roses? Answer: $ 20. Cindy is making a punch for a party. The recipe calls for 3 bottles of cranberry juice in order to make enough punch to serve 40 guests. How many bottles of cranberry juice will Cindy use in order to make enough punch to serve 100 guests? Answer: bottles Answer Key for Grade 7 module 1 1. 10 8. 6.00 15. 2 2. 100 9. 0.12 16. 30, 84, 360 3. 48, Y 10. 12.5 17. 25 4. 60 11. 4 or four 18. 43560 5. 5 12. 11 19. 29.99 6. 6.25 13. 900 20. 7.5 7. 75 14. 3.20
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