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Problem Solving: Unit Rates

Problem Solving: Unit Rates. 4-step problem solving process: Read, Plan, Solve, Check. 1. Felicia’s Ride. Felicia takes 4 hours to ride her bike 56 miles. She rides at a constant speed during the 4-hour ride. What is her unit rate in miles per hour?

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Problem Solving: Unit Rates

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  1. Problem Solving: Unit Rates 4-step problem solving process: Read, Plan, Solve, Check

  2. 1. Felicia’s Ride Felicia takes 4 hours to ride her bike 56 miles. She rides at a constant speed during the 4-hour ride. What is her unit rate in miles per hour? Felicia’s unit rate is 14 miles per hour

  3. 2. Tennis Camp There are 3 instructors per 18 students at a tennis camp. At that rate, how many instructors are needed for 30 students? One instructor is needed for 6 students. Therefore, 5 instructors are needed for 30 students.

  4. 3. The Farmer’s Market At the farmer’s market, 8 apples cost $5.20. If each apple costs the same amount, what is the price per apple? The price per apple is $0.65.

  5. 4. Art Supply Order An order of 5 paintbrushes costs $3.50. If each paintbrush costs the same amount, what is the unit cost? What is the cost for an order of 3 paintbrushes? The unit cost of a paintbrush is $0.70. An order of 3 paintbrushes costs $2.10.

  6. 5. Karl’s Drive It takes Karl 6 hours to drive 372 miles. If he drives at a constant speed during the 6 hours, what is his unit rate? At this rate, how far will Karl drive in 8 hours? Karl’s unit rate is 62 miles per hour. At this rate, Karl will drive 496 miles in 8 hours.

  7. 6. Harper’s Chairs Harper bought 4 chairs for $232. What is the unit price? How much will 6 chairs cost? The unit price for each chair is $58. At this rate, six chairs will cost $348.

  8. 7. Painters Paint A painter uses 2 tubes of black paint for every 6 tubes of white paint to paint a mural. At that rate, how many tubes of black paint are used if 15 tubes of white paint are used? The unit rate the painter uses is 1 tube of black paint for every 3 tubes of white paint. At this rate, 5 tubes of black paint are used for 15 tubes of white paint.

  9. 8. Bob’s Binders At Bob’s Binders, a set of 3 notebooks costs $4.20. At Pam’s Paper Place, a set of 4 notebooks costs $5.20. What is the unit price of the notebooks at each store? Which is the better buy? The unit rate at Bob’s Binders is $1.40 per notebook. The unit rate at Pam’s Paper Place is $1.30 making her deal the better buy.

  10. 9. Ms. Compra’s Markers Ms. Compra bought 5 markers for $4.75. At this price, how much will 4 markers cost? How much will 10 markers cost? The unit rate of each marker is $0.95. At this rate, 4 markers will cost $3.80 and 10 markers will cost $9.50.

  11. 10. Bread Recipe A recipe for one loaf of bread calls for ¾ cup of white flour for each cup of whole wheat flour. Rose wants to make 4 loaves of bread. How much whole wheat flour will she need? How much white flour will she need? Rose will need 4 cups of whole wheat flour and 3 cups of white flour.

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