Question

The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free throws, find how many free throws she attempted.

Answer 1

Answer: 21
4/7 = 12/x

Multiply each side by x, so the x drops out on right side:
(4/7)x = 12
Distribute x:
4x/7 = 12

Multiply each side by 7, so the 7 drops out on left side:
4x = 84

Divide:
x = 84/4
x = 21

Answer 2

21

4/7 = 12/x

Multiply each side by x, so the x drops out on right side:

(4/7)x = 12

Distribute x:

4x/7 = 12

Multiply each side by 7, so the 7 drops out on left side:

4x = 84

Divide:

x = 84/4

x = 21

Explanation: