A fruit salad mixture consists of apples, peaches, and grapes in the ratio 6:5:2, respectively by weight. If 39 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?

A fruit salad mixture consists of apples, peaches, and grapes in the ratio 6:5:2, respectively by weight. If 39 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?

A 15

B 12

C 9

D 6

Solution

Correct Answer: Option B

Given that A:P:G=6x:5x:2x and 6x+5x+2x=13x=39, from which it follows that x=3.

Therefore, A-G=6x-2x=4x=12.