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If each of three grocery stores receives of a farmer’s

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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If each of three grocery stores receives of a farmer’s [#permalink] New post 26 Apr 2017, 18:15
Expert's post
00:00

Question Stats:

50% (01:10) correct 50% (00:12) wrong based on 8 sessions
If each of three grocery stores receives \(\frac{1}{4}\) of a farmer’s potato crop, a farmer’s market receives \(\frac{1}{3}\)of the remaining, and a local fast food restaurant receives the remaining 200 pounds, how many pounds of potatoes were in the farmer’s crop?

A. 300
B. 400
C. 900
D. 1,200
E. 1,400

Drill 4
Question: 11
Page: 323
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1652 [0], given: 396

CAT Tests
Re: If each of three grocery stores receives of a farmer’s [#permalink] New post 04 May 2017, 01:25
Expert's post
Explanation

Since you know there are 200 lbs remaining after the grocery stores and farmer’s market get their shares, you cannot plug in your own number. So plug in the answers, and start with middle choice (C):

Attachment:
di new1.jpg
di new1.jpg [ 16.78 KiB | Viewed 1047 times ]


Hence option D is correct!
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Sandy
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Target Test Prep Representative
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Joined: 09 May 2016
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Re: If each of three grocery stores receives of a farmer’s [#permalink] New post 06 Jun 2018, 15:19
Expert's post
sandy wrote:
If each of three grocery stores receives of a farmer’s potato crop, a farmer’s market receives of the remaining, and a local fast food restaurant receives the remaining 200 pounds, how many pounds of potatoes were in the farmer’s crop?

A. 300
B. 400
C. 900
D. 1,200
E. 1,400


e can let n = the total number of pounds of potatoes in the farmer’s crop. Note that 3/4 of his crop went to the grocery stores, leaving 1/4 of the crop remaining. We know that 1/3 of this remaining 1/4 went to the farmer’s market, and the remaining 200 pounds went to the fast food restaurant. We can create the equation:

n = 3(1/4)n + 1/3(1/4)n + 200

n = (3/4)n +(1/12)n + 200

12n = 9n + n + 2400

2n = 2400

n = 1200

Alternate Solution:

We know that 3/4 of the crop went to grocery stores, and (1/3)(1/4) = 1/12 of the crop went to the farmer’s market. Thus, we see that 3/4 + 1/12 = 9/12 + 1/12 = 10/12 of the crop went to these endeavors, leaving 2/12 = 1/6 of the crop, which is equal to 200 pounds, to go to the fast food restaurant. Thus, if we let n = the number of pounds of potatoes in the crop, we see that:

(1/6)n = 200

n = 1200

Answer: D
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Re: If each of three grocery stores receives of a farmer’s   [#permalink] 06 Jun 2018, 15:19
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If each of three grocery stores receives of a farmer’s

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