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

Question

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

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

vanam52923 · Accepted Answer

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

Kinshook · Answer

Gallons /acres= 2x/(50+60)= x/55
y= x- 50x/55 = x/11

IMO C

Posted from my mobile device

Luca1111111111111 · Answer

I don't understand this part y= x- 50x/55 = x/11. Could you please explain?

ScottTargetTestPrep · Answer

We can create the equation:

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

60x - 60y = 50x + 50y

10x = 110y

x = 11y

x/11 = y

Answer: C

RastogiSarthak99 · Answer

I think the key here is to understand that question is referring to water per acre

We are given x gallons each to Onion and Pumpkin with 50 and 60 acres of land respectively. So what is the water used per acre for both?

x/50 and x/60

Now, y gallons is taken out from Onion and added to Pumpkin such that

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

solving for the equation gives us x/11 = y

C

bumpbot · Answer

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

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