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A fruit-salad mixture consists of apples, peaches, and grape [#permalink]

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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 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

Given that A:P:G=6x:5x:2x and 6x+5x+2x=13x=39, from which it follows that x=3.

Re: A fruit-salad mixture consists of apples, peaches, and grape [#permalink]

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04 Jan 2015, 04:12

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Ratio/percent questions occur frequently on the GMAT; one of the great things about these questions is that they can be solved in a variety of ways:

Here, we have a ratio of Apples:Peaches:Grapes in the ratio of 6:5:2. We're told that 39 pounds of this mixture is prepared and we're asked how many MORE pounds of Apples are there than pounds of Grapes.

Since the answer choices are numbers, we can use them to our advantage and avoid some of the math. From the original ratio, we know that....

The pounds of.... Apples will be a multiple of 6 Peaches will be a multiple of 5 Grapes will be a multiple of 2 Total will be a multiple of 13

So, the difference in the pounds of Apples and Grapes will be 6 - 2 = some multiple of 4 pounds.

If we had 13 pounds total, then the difference would be 4 pounds. Since the total is MORE than 13 pounds, the difference will be MORE than 4 pounds (but still a multiple of 4). Only one answer fits that pattern:

Re: A fruit-salad mixture consists of apples, peaches, and grape [#permalink]

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28 Jun 2016, 05:46

Walkabout wrote:

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

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 = 39

13x = 39

x = 3

Now we can determine the number of pounds of apples and of grapes.

pounds of grapes = (2)(3) = 6

pounds of apples = (6)(3) = 18

Thus we know that there are 18 – 6 = 12 more pounds of apples than grapes.

Answer is B.
_________________

Jeffrey Miller Scott Woodbury-Stewart Founder and CEO

Re: A fruit-salad mixture consists of apples, peaches, and grape [#permalink]

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28 Jun 2016, 11:12

Walkabout wrote:

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

6w + 5w + 2w = 39

Or, 13w = 39

Or, w = 3

According to the ratio Apples : Grapes = 6 : 2 , so Apple is 12 { 3 ( 6 - 2 ) } more than Grapes... Answer will be (B) _________________

Thanks and Regards

Abhishek....

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