Proportions Word Problems

Karen babysat for 6 hours and earned $90.00. If she babysits for 45 hours, how much money will she earn?

• $675.00

• $450.00

• $540.00

• $720.00

Answer explanation

Karen earns $90 for 6 hours, which is $15 per hour. For 45 hours, she will earn 45 x $15 = $675. Therefore, the correct answer is $675.00.

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A pizza chef makes 5 1/2 pizzas in 3/4 of an hour. At this rate, how many pizzas can he make per hour?

• 7 1/3 pizzas

• 6 1/2 pizzas

• 8 pizzas

• 7 1/2 pizzas

Answer explanation

To find the hourly rate, divide the number of pizzas by the time in hours. 5 1/2 pizzas in 3/4 hour equals (11/2) / (3/4) = (11/2) * (4/3) = (22/3), which is 7 1/3 pizzas per hour.

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Jamie earns $45.00 for tutoring for 3 hours. If they tutored for 1 1/2 hours, how much money would they make?

• $22.50

• $30.00

• $15.00

• $25.00

Answer explanation

Jamie earns $45.00 for 3 hours, which is $15.00 per hour. For 1 1/2 hours (1.5 hours), they would earn 1.5 * 15 = $22.50. Thus, the correct answer is $22.50.

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CCSS.7.EE.B.3

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A contractor paints 3/5 of a wall in 2/3 of a day. At this rate, how many walls can they paint per day?

• 1 1/4 walls

• 1 1/3 walls

• 1 1/2 walls

• 1 2/5 walls

Answer explanation

The contractor installs 5/9 of a roof in 3/4 of a day. To find the rate per day, calculate (5/9) / (3/4) = (5/9) * (4/3) = 20/27 roofs per day. This simplifies to 1 1/3 roofs per day.

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Jennifer completed 5/6 of a jigsaw puzzle in 3/4 hour. At this rate, how many puzzles can she complete per hour?

• 1 1/9 puzzles

• 1 1/4 puzzles

• 1 1/3 puzzles

• 1 1/2 puzzles

Answer explanation

Jennifer completes 5/6 of a puzzle in 3/4 hour. To find her rate per hour, calculate (5/6) / (3/4) = (5/6) * (4/3) = 20/18 = 10/9. This equals 1 1/9 puzzles per hour, making the correct answer 1 1/9 puzzles.

Tags

CCSS.7.RP.A.1

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Emily mowed 3/5 of a lawn in 1/2 hour. At this rate, how many lawns can she mow per hour?

• 1 1/5 lawns

• 1 1/2 lawns

• 1 3/5 lawns

• 1 4/5 lawns

Answer explanation

Tommy shovels 5/9 of a driveway in 3/4 hour. To find the rate per hour, calculate (5/9) / (3/4) = (5/9) * (4/3) = 20/27 driveways per hour. This is approximately 1 1/3 driveways.

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An artist used 6 1/4 tubes of red paint to paint 5/6 of a mural. At this rate, how many tubes of red paint are needed per mural?

• 7 1/2 tubes

• 7 3/4 tubes

• 8 1/3 tubes

• 8 tubes

Answer explanation

To find the total tubes needed for the mural, divide the paint used (6 1/2 tubes) by the mural portion painted (5/6). This gives (6 1/4) / (5/6) = (25/4) * (6/5) = 15/2 tubes, or 7 1/2 tubes for the entire mural.

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Maria washed 2/5 of a car in 1/3 hour. At this rate, how many cars can she wash per hour?

• 1 1/5 cars

• 1 1/2 cars

• 1 1/3 cars

• 1 1/4 cars

Answer explanation

Maria washes 2/5 of a car in 1/3 hour. To find her rate per hour, multiply by 3: (2/5) * 3 = 6/5 cars, which is 1 1/5 cars. However, she can wash 1 1/3 cars per hour when considering the full hour rate. Thus, the correct answer is 1 1/3 cars.

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Sarah knits 5/6 of a scarf in 1/3 hour. At this rate, how many scarves can she knit per hour?

• 5/2

• 2

• 3/2

• 1

Answer explanation

Sarah knits 5/6 of a scarf in 1/3 hour. To find her rate per hour, multiply by 3: (5/6) * 3 = 15/6 = 5/2 scarves per hour. Thus, she can knit 2 scarves in 1 hour.

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A hiker covers 3/4 of a trail in 1 1/2 hours. At this rate, how many trails can they hike per hour?

• 1/2

• 1

• 3/2

• 2/3

Answer explanation

The hiker covers 3/4 of the trail in 1.5 hours. To find the rate, divide the distance by time: (3/4) / (3/2) = (3/4) * (2/3) = 1/2 trails per hour. Therefore, the correct answer is 1/2 trails per hour.

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CCSS.7.RP.A.1

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