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GRE Math Challenge #89-A health food store prepares

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GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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GRE Math Challenge #89-A health food store prepares [#permalink] New post 09 May 2015, 11:36
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Question Stats:

100% (01:42) correct 0% (00:00) wrong based on 5 sessions
A health food store prepares a breakfast food that consists of oats, raisins, and nuts mixed in the ratio 9:2:1, respectively, by weight. If the nuts in the mixture weigh 9.2 pounds, how many pounds does the total mixture weigh?

(A) 82.2
(B) 92.2
(C) 101. 2
(D) 110.4
(E) 165.6
[Reveal] Spoiler: OA

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Re: GRE Math Challenge #89-A health food store prepares [#permalink] New post 18 Dec 2017, 06:23
sandy wrote:
A health food store prepares a breakfast food that consists of oats, raisins, and nuts mixed in the ratio 9:2:1, respectively, by weight. If the nuts in the mixture weigh 9.2 pounds, how many pounds does the total mixture weigh?

(A) 82.2
(B) 92.2
(C) 101. 2
(D) 110.4
(E) 165.6



Here the weight of Nuts = 9.2 pounds and we need to find out the total weight of the mixture.

Let the total weight of mixture be = T

since oats:raisins : nuts = 9:2:1

i.e 9 parts of Total (T)+ 2 parts of Total (T) + 1 parts of total (T) = 12 T

Part/ Whole = \(\frac{Nuts}{Total mixture}\) = \(\frac{9.2}{Total weight}\)

or \(\frac{T}{12T}\)= \(\frac{9.2}{Total weight}\)

or Total weight = 110.4 i.e total weight of the mixture is 110.4 pounds
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Re: GRE Math Challenge #89-A health food store prepares   [#permalink] 18 Dec 2017, 06:23
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