A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 6:5:4, respectively, by weight. If 60 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
Choose the correct choice from the following choices
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 6:5:4, respectively, by weight. Thus, we can say:   apples : peaches : grapes = 6x : 5x : 4x   We are given that 60 pounds of the mixture is prepared so we can set up the following question and determine a value for x:   6x + 5x + 4x = 60   15x = 60   x = 4   Now we can determine the number of pounds of apples and of grapes.   pounds of grapes = (4)(4) = 16   pounds of apples = (6)(4) = 24   Thus we know that there are  24 - 16= 
<gadget id="calculator"> 24 - 16</gadget>
<output>8</output>
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 6:5:4, respectively, by weight. If 60 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?