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.

a. 3 free throwsc.21 free throwsb.7 free throwsd.4 free throws

Answer 1

c. 7 free throws

Explanation:

Since the ratio is 4:7, and we need to get to 12, we multiply the ratio by 12/7.

7*12/7 = 12

4*12/7 = 6.857142....(the digits after the decimal keep repeating)

So, the ratio would be 12 : 6.857142

6.857142 rounded is 7.

The ratio is 12 free throws to 7 completed throws.

Answer 2

Ratio of the free throws completed to attempted free throws is given to be 4:7. This ratio should be equal to the ratio of the next case. Let x be the number of free throws attempted. The proportion takes a form of,
(4 completed / 7 attempted) = (12 completed / x attempted)
Solving for x gives x = 21. Thus, the answer is letter c. which is the second among the choices.