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GMAT - Problem Solving - Ratio & Proportion

A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 6:5:2, respectively, by weight

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
(E) 4

Assume the weight of apples be 6x

therefore wieght of peaches = 5x

weight of grapes = 2x

total weight = 6x + 5x + 2x = 13 x

39 = 13x

x = 3

weight of apples = 6x = 18

weight of grapes = 2x = 6

difference in weight = 18 - 6 = 12 pounds

B is correct