A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 6:5:2, respectively, by weight. If 78 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?	Choose the correct choice from the following answers:
A) 24
B) 12
C) 9
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:   6x + 5x + 2x = 78   13x = 78   x = 6   Now we can determine the number of pounds of apples and of grapes.   pounds of grapes = (2)(6) = 12   pounds of apples = (6)(6) = 36   Thus we know that there are  36 -12= 
<gadget id="calculator"> 36 -12</gadget>
<output>24</output>
24 more pounds of apples than grapes.   24nswer is 24.
<result>A</result>
A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 6:5:2, respectively, by weight. If 78 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?