Solutions
 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.
 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.
 Read and understand the question. This question is looking for the actual length of a wall. The length on a scale drawing is given.
 Read and understand the question. This question is looking for the total amount of flour needed. The ratio needed is given in the problem.
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.
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.
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.
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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