How many gallons of washer fluid that is 13.5% antifreeze must a manufacturer add to 500 gallons of washer fluid that is 11% antifreeze to yield washer fluid that is 13% antifreeze?
A)1,000
B)1,740
C)1,730
D)2,000
E)1,790

Question

How many gallons of washer fluid that is 13.5% antifreeze must a manufacturer add to 500 gallons of washer fluid that is 11% antifreeze to yield washer fluid that is 13% antifreeze? ​
A)1,000
B)1,740
C)1,730
D)2,000
E)1,790

Quizplus · Accepted Answer

Let x be the amount of washer fluid that needs to be added.

The amount of antifreeze in the 500 gallons of washer fluid is:

0.11 * 500 = 55

After adding x gallons of washer fluid that is 13.5% antifreeze, the total amount of antifreeze in the mixture is:

0.135x + 55

The total amount of fluid after adding x gallons is:

500 + x

We want this mixture to be 13% antifreeze, so:

(0.135x + 55) / (500 + x) = 0.13

Solving for x:

0.135x + 55 = 0.13(500 + x)

0.005x = 5

x = 1000

Therefore, the manufacturer must add 1000 gallons of washer fluid that is 13.5% antifreeze to the 500 gallons of washer fluid that is 11% antifreeze to yield washer fluid that is 13% antifreeze.

The best choice is D.

How Many Gallons of Washer Fluid That Is 13