Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer.
-The ratio of a quarterback's completed passes to attempted passes is 5 : 7. If he attempted 21 passes, find how many passes he completed. Round to the nearest whole number.
A) 7 passes
B) 3 passes
C) 29 passes
D) 15 passes

Question

Quizplus · Accepted Answer

The proportion that can be used is:
completed passes / attempted passes = 5 / 7
Let x be the number of completed passes.
Then we have x / 21 = 5 / 7
Cross-multiplying gives:
7x = 21 * 5
Dividing both sides by 7 gives:
x = 15
Rounding to the nearest whole number gives:
x ≈ 15
Therefore, the quarterback completed approximately 15 passes. The best choice is D. Let x be the number of completed passes.

The proportion is:

5/7 = x/21

To solve for x, cross-multiply:

5 * 21 = 7x

x = 15

Therefore, the quarterback completed 15 passes. Rounded to the nearest whole number, the answer is D) 15 passes.

Write a Proportion That Can Be Used to Solve the Problem