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# On a certain farm, the onion and the pumpkin patch were each to receiv

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Intern
Joined: 12 Jan 2019
Posts: 34
On a certain farm, the onion and the pumpkin patch were each to receiv  [#permalink]

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31 Jul 2019, 05:39
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35% (medium)

Question Stats:

69% (02:07) correct 31% (02:14) wrong based on 52 sessions

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On a certain farm, the onion and the pumpkin patch were each to receive x gallons of water for irrigation. The onion patch was 50 acres and the pumpkin patch was 60 acres. Once it came time to deliver the water, the farmer decided to transfer y gallons of water from the onion patch to the pumpkin patch so that each would receive the same amount of water per acre. Which of the following is equivalent to y?

1) x/3000
2) x/30
3)x/11
4)x/10
5)x/5
CEO
Joined: 03 Jun 2019
Posts: 2948
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
Re: On a certain farm, the onion and the pumpkin patch were each to receiv  [#permalink]

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31 Jul 2019, 07:24
1
Gallons /acres= 2x/(50+60)= x/55
y= x- 50x/55 = x/11

IMO C

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Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
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Joined: 20 Apr 2019
Posts: 112
Re: On a certain farm, the onion and the pumpkin patch were each to receiv  [#permalink]

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02 Aug 2019, 01:05
Kinshook wrote:
Gallons /acres= 2x/(50+60)= x/55
y= x- 50x/55 = x/11

IMO C

Posted from my mobile device

I don't understand this part y= x- 50x/55 = x/11. Could you please explain?
Manager
Joined: 17 Jul 2017
Posts: 244
Re: On a certain farm, the onion and the pumpkin patch were each to receiv  [#permalink]

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02 Aug 2019, 01:20
2
Nums99 wrote:
On a certain farm, the onion and the pumpkin patch were each to receive x gallons of water for irrigation. The onion patch was 50 acres and the pumpkin patch was 60 acres. Once it came time to deliver the water, the farmer decided to transfer y gallons of water from the onion patch to the pumpkin patch so that each would receive the same amount of water per acre. Which of the following is equivalent to y?

1) x/3000
2) x/30
3)x/11
4)x/10
5)x/5

water to onion filed per acre= x/50
water to pumpkin filed per acre= x/60
now y litres from onion field transferred to pumpkin so water left to onion filed=x-y and now water in pumpkin=x+y
so now per acre water has to be equivalent (gvn in qsn)
(x-y)/50=(x+y)/60
so y=x/11
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Re: On a certain farm, the onion and the pumpkin patch were each to receiv  [#permalink]

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05 Aug 2019, 16:18
Nums99 wrote:
On a certain farm, the onion and the pumpkin patch were each to receive x gallons of water for irrigation. The onion patch was 50 acres and the pumpkin patch was 60 acres. Once it came time to deliver the water, the farmer decided to transfer y gallons of water from the onion patch to the pumpkin patch so that each would receive the same amount of water per acre. Which of the following is equivalent to y?

1) x/3000
2) x/30
3)x/11
4)x/10
5)x/5

We can create the equation:

(x - y)/50 = (x + y)/60

60x - 60y = 50x + 50y

10x = 110y

x = 11y

x/11 = y

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Re: On a certain farm, the onion and the pumpkin patch were each to receiv   [#permalink] 05 Aug 2019, 16:18