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

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Math Expert
Joined: 02 Sep 2009
Posts: 52406
If each of three grocery stores receives14 of a farmer`s potato crop,  [#permalink]

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30 Oct 2018, 02:07
00:00

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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Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: If each of three grocery stores receives14 of a farmer`s potato crop,  [#permalink]

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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

D
Manager
Joined: 30 Oct 2018
Posts: 50
Re: If each of three grocery stores receives14 of a farmer`s potato crop,  [#permalink]

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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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