A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 9:6:5, respectively, by weight. If 40 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes? Options: A) 15 B) 12 C) 8 D) 6 E) 4
We can first set up our ratio using variable multipliers. We are given that a fruit-salad mixture consists of apples, peaches, and grapes, in the ratio of 6:5:2, respectively, by weight. Thus, we can say:   apples : peaches : grapes = 6x : 5x : 2x   We are given that 39 pounds of the mixture is prepared so we can set up the following question and determine a value for x:   9x + 6x + 5x = 40   20x = 40   x = 2   Now we can determine the number of pounds of apples and of grapes.   pounds of grapes = (5)(2) = 10   pounds of apples = (9)(2) = 18   Thus we know that there are 18 – 10 = 8 more pounds of apples than grapes.   Answer is 8.
<result>C</result>
A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 9:6:5, respectively, by weight. If 40 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?