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

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

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New post 31 Jul 2019, 06:39
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C
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Difficulty:

  35% (medium)

Question Stats:

73% (02:02) correct 28% (02:23) wrong based on 40 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
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Re: On a certain farm, the onion and the pumpkin patch were each to receiv  [#permalink]

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New post 31 Jul 2019, 08:24
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Gallons /acres= 2x/(50+60)= x/55
y= x- 50x/55 = x/11

IMO C

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

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

IMO C

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

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New post 02 Aug 2019, 02:20
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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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New post 05 Aug 2019, 17:18
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

Answer: C
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Re: On a certain farm, the onion and the pumpkin patch were each to receiv   [#permalink] 05 Aug 2019, 17:18
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