Solving Problems Using Proportional Reasoning

Sam raked 4 bags of leaves in 16 minutes. If they continue to work at the same rate, about how long will it take them to rake 6 bags?

Give the equivalent ratio for 6 bags. Use the colon (:) for your ratio.

Don't forget to label your numbers.

(a)  

Tags

proportions

Andy earned $25 for babysitting for 4 hours. If he always charges the same rate, how much will he make after babysitting for 24 hours?

Choose the proportional ratio for 24 hours.

• 24 hours : $175

• 24 hours : $150

• 24 hours : $100

• 24 hours : $125

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proportions

A 2-month membership to the gym costs $125. Jim would like to be a member for 8 months. What is the total amount he will pay for 8 months?

Give the proportion that will help determine the answer.

Use a colon for the ratio. Don't forget to label your ratios.

(a)  

Tags

proportions

• Scale up by 2

• Scale up by 3

• Scale up by 4

• Scale down by 4

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proportions

Bobby's car used 5 gallons to drive 110 miles. How many miles can he drive with a full tank (16 gallons)?

Choose the proportion that shows the answer to the question.

• 16 gallons : 335 miles

• 16 gallons : 352 miles

• 16 gallons : 400 miles

• 16 gallons : 1660 miles

Tags

proportions

Mary ran 2 miles in about 23 minutes. If she continued at the same pace, how long will it take her to run 10 miles?

Give the proportion that will answer this question.

Use the colon and label your ratio.

(a)  

Tags

proportions

Steven uploaded a new video. It's received 16 likes and 4 dislikes.

If that ratio stays constant, how many likes can he expect to get for 20 dislikes?

• 80 likes : 20 dislikes

• 68 likes : 20 dislikes

• 20 likes : 80 dislikes

• 68 likes : 80 dislikes

Tags

proportions

The 2022 Mercedes Maybach gets 24 miles per gallon of gas. If the gas tank holds 22.2 gallons of gas, how many miles can you drive before refueling?

• 5328 miles : gallon

• 24 miles : 22.2 gallons

• 22.2 gallons : 53.28 miles

• 532.8 miles : 22.2 gallons

Tags

proportions

Tags

proportions

In her garden, Arleen plants 7 lettuce heads in each row at a ratio of 2 red to 5 green. She plants 28 lettuce heads in total. How many are red?