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If each of three grocery stores receives14 of a farmer`s potato crop,

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Joined: 02 Sep 2009
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If each of three grocery stores receives14 of a farmer`s potato crop,  [#permalink]

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New post 30 Oct 2018, 02:07
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Difficulty:

  35% (medium)

Question Stats:

73% (01:37) correct 27% (01:32) wrong based on 37 sessions

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If each of three grocery stores receives 1/4 of a farmer's potato crop, a farmer's market receives 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

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Re: If each of three grocery stores receives14 of a farmer`s potato crop,  [#permalink]

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New post 30 Oct 2018, 03:02
Bunuel wrote:
If each of three grocery stores receives 1/4 of a farmer's potato crop, a farmer's market receives 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



let the total be x

1. each of the three grocery stores receives 1/4 = 3x/4
2. a farmer's market receives 1/3 of the remaining = (x/4)*1/3 = x/12
remaining = x - (3x/4 + x/12) = 200
x -(10x/12) = x/6 = 200
x=1200


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Re: If each of three grocery stores receives14 of a farmer`s potato crop,  [#permalink]

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New post 30 Oct 2018, 07:48
If each of three grocery stores receives 1/4 of a farmer's potato crop, a farmer's market receives 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?
Sol-
farmer's potato crop be x
three grocery stores -x/4 each
farmer's market = 1/3 (x-(3x/4)) = x/12
rest =200

total= 200+(x/12)+3x/4 = x
=> x= 1200 (D)
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Re: If each of three grocery stores receives14 of a farmer`s potato crop, &nbs [#permalink] 30 Oct 2018, 07:48
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If each of three grocery stores receives14 of a farmer`s potato crop,

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