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Solve each of the following proportions. a. x/24 = 30/36 b. 5/7 = x/3 c. If Joan read 75 pages in 4 hours how long will it take her to read 250 pages?

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Final answer:

To solve each proportion, use the cross-product method by multiplying the numerator of the first ratio by the denominator of the second ratio and vice versa. Then simplify and solve for the unknown variable.

Step-by-step explanation:

To solve each proportion, we can use the cross-product method. Here's how:

a. x/24 = 30/36

Cross multiplying, we get x * 36 = 24 * 30.

Simplifying, we have 36x = 720.

Dividing both sides by 36, we find that x = 20.

b. 5/7 = x/3

Cross multiplying, we get 5 * 3 = 7x.

Simplifying, we have 15 = 7x.

Dividing both sides by 7, we find that x = 15/7 or approximately 2.14.

c. If Joan read 75 pages in 4 hours, how long will it take her to read 250 pages?

Let's set up a proportion. If Joan reads 75 pages in 4 hours, then 250 pages will take x hours.

Using the cross-product method, we have 75 * x = 4 * 250.

Simplifying, we get 75x = 1000.

Dividing both sides by 75, we find that x = 1000/75 or approximately 13.33 hours.

User Adam Beleko
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