Question

Solve each proportion 2/8=x/24

Answer 1

The answer is B) x = 12.

Here are the steps I did. 1. Simplify 2/8 to 1/4 ( 1/4 = x/48)2. Multiply both sides by 48 ( 1/4 x 48 = x)3. Simplify 1/4 x 48 to 48/4 ( 48/4 = x)4. Simplify 48/4 to 12 ( 12 = x)5. Now reverse it ( x = 12)

Answer 2

x = 6

Explanation:

First, write the proportion, using a letter to stand for the missing term. We find the cross products by multiplying 8 times x, and 2 times 24. Then divide to find x. Study this step closely, because this is a technique we will use often in algebra. We are trying to get our unknown number, x, on the left side of the equation, all by itself. Since x is multiplied by 8, we can use the "inverse" of multiplying, which is dividing, to get rid of the 8. We can divide both sides of the equation by the same number, without changing the meaning of the equation. When we divide both sides by 8, we find that the x would equal 6.

Hope this helped!