Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer.
-The ratio of a basketball player's completed free throws to attempted free throws is 4 : 5. If she completed 12 free throws, find how many free throws she attempted. Round to the nearest whole number.
A) 10 free throws
B) 15 free throws
C) 3 free throws
D) 4 free throws

Question

Quizplus · Accepted Answer

The proportion is 4/5 = 12/x, where x is the number of attempted free throws. Cross-multiplying, we get 4x = 60, and solving for x, we get x = 15. Rounded to the nearest whole number, the answer is 15. Therefore, the best choice is B) 15 free throws. Let x be the number of attempted free throws. 
We can can set up the proportion: 
completed free throws/attempted free throws = 4/5 
Substituting the given value: 
12/x = 4/5 
Cross-multiplying gives: 
60 = 4x 
x = 15 
Therefore, she attempted 15 free throws. Rounded to the nearest whole number, the answer is B) 15 free throws.

Write a Proportion That Can Be Used to Solve the Problem