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# Proportion Word Problems Practice Questions (page 2)

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Updated on Oct 3, 2011

#### Solutions

1. Read and understand the question. This question is looking for the total number of minutes it will take to run 10 miles. The time it took to run 6 miles is given.
2. Make a plan. To solve this problem, use a proportion and line up the corresponding labels to put the values in the correct places.

Carry out the plan. The proportion could be set up as:

Notice how the labels match up to help place the values correctly.

Cross multiply the means and the extremes, and solve the equation.

6x = 10 × 48
6x = 480
Divide each side of the equation by 6.
x = 80 minutes

At the same rate, it would take her 80 minutes.

Check your answer. Substitute into the proportion to check that it is a true proportion:

The cross products are each 480. This solution is checking.

3. Read and understand the question. This question is looking for the total number of hours it will take to make \$326.40. The time it took to earn \$204 is given.
4. Make a plan. To solve this problem, use a proportion and line up the corresponding labels to put the values in the correct places.

Carry out the plan. The proportion could be set up as:

Line up the labels to help place the values correctly.

Cross multiply the means and the extremes, and solve the equation.

204x = 5 × 326.40
204x = 1,632
Divide each side of the equation by 204.
x = 8 hours

At the same rate, it would take Harold 8 hours to make \$326.40.

Check your answer. Substitute into the proportion to check that it is a true proportion:

The cross products are each 1,632. This solution is checking.

5. Read and understand the question. This question is looking for the actual length of a wall. The length on a scale drawing is given.
6. Make a plan. To solve this problem, use a proportion and line up the corresponding labels to put the values in the correct places.

Carry out the plan. The proportion could be set up as:

Notice how the labels match up to help place the values correctly.

Cross multiply the means and the extremes, and solve the equation.

1x = 12 × 9
x = 108 inches

The actual length is 108 inches.

Check your answer. Substitute into the proportion to check that it is a true proportion:

The cross products are each 108. This solution is checking.

7. Read and understand the question. This question is looking for the total amount of flour needed. The ratio needed is given in the problem.
8. Make a plan. To solve this problem, use a proportion and line up the corresponding labels to put the values in the correct places.

Carry out the plan. The proportion could be set up as:

Cross multiply the means and the extremes, and solve the equation.

1x = 2 × 4
x = 8 cups

A total of 8 cups of flour are needed.

Check your answer. Substitute into the proportion to check that it is a true proportion

Each cross product is 8. This solution is checking.

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