A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 4:5:2, respectively, by weight. If 44 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes? Choose the correct option:	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 4:5:2, respectively, by weight. Thus, we can say:   apples : peaches : grapes = 4x : 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:   4x + 5x + 2x = 44   11x = 44   x = 4   Now we can determine the number of pounds of apples and of grapes.   pounds of grapes = (2)(4) = 8   pounds of apples = (4)(4) = 16   Thus we know that there are 16 – 8 = 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 4:5:2, respectively, by weight. If 44 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?