Name ________KEY____________________ Unit Rates ########%%%% Simplified Write the ratio for each ########%%%% 1. What is the part to part ratio of # to %? 40 : 20 = 2: 1 ########%%%% ########%%%% 2. What is the ratio of # to the whole? 40 : 60 = 2:3 ########%%%% 3. What is the ratio of % to the whole? 20 : 60 = 1: 3 ########%%%% 4. On a Tuesday, the class checked out 45 books from the library. If 15 of the books are fiction, what is the ratio of non-fiction to fiction books? 30:15 or 2:1 5. For a garage sale, the owner had 98 baseball cards. During the course of the day the baseball card owner sold 34 cards. What is the ratio of cards sold to cards left to sell? 34:64 or 17:32 6. The mall parking lot has 49 empty spaces. If the ratio of empty spaces to taken spaces is 7:9, how many spaces are there total? 112 Write the ratio and unit rate for each Ratio Unit Rate 7. 180 miles to 9 gallons of gas 180 mi / 9 gal 20 mi per gal ______ 8. $ 160.00 is the cost of 5 calculators. 1. $ 24.00 is the cost of 3 Movie tickets 9. 12 inches of rain in 6 hours $160 / 5 calculators $32 for one calculator 12 in / 6 hr 2 in every hr 10. The flag pole is 24 feet tall. The flag pole’s shadow is 8 yards long. Write this as a ratio of flag pole height to shadow length. 24 feet to 8 yards or 3 ft to 1 yard 11. Using the rate from problem 10, make a chart of flag pole heights compared to shadow lengths for flag pole’s that are 12 feet tall, 18 feet tall, 21 feet tall, and 36 feet tall. height 3 12 18 21 36 shadow 1 4 6 7 12 12. At the grocery store a sign shows that apples are 7 for $ 2.10, and there is also a sign by the peaches that says that they are 6 for $3.60. Find the total cost of buying 2 apples and 2 peaches. Apple = .30 Peach = .60 2 x .30 = .60 2 x .60 = 1.20 total is $1.80 13. Mike’s Candy Store sells skittles in bulk, 2 pounds for $5. You can buy any amount at this rate and it even includes sales tax. Robin thinks the ratio of the number of dollars to number of pounds is 5:2 that’s $2.50 per pound. Ethan thinks the ratio of the number of pounds to the number of dollars is 2:5 and that is .4 pounds per dollar Answer each part. a. b. c. d. Are Robin and Ethan both correct? Explain Yes, reasons will vary Ethan wants to buy one pound of skittles, how much will he have to pay? $2.50 Taylor has $7.50 how many pounds can she buy? 3 pounds Did you use Robin’s or Ethan’s thinking to answer parts b and c. answers will vary 14. A modeling clay recipe calls for 1 cup cornstarch, 2 cups baking soda and 1.5 cups of water. How many cups of cornstarch are needed to mix with one cup of baking soda? 1/2 15. Alice ordered 4 small pizzas for her and her five friends. How much of a pizza does each person get? If each pizza was cut into 6 slices how many slices will each person get? Read to reason there are 6 people 4/6 or 2/3 of a pizza, each person will get 4 slices 16. Uncle Si has driven 125 miles and used 5 gallons of gas. How far could he drive if he only had one gallon? 25 miles