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Reservoir A contains 450 million gallons of water more than

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Carcass
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Reservoir A contains 450 million gallons of water more than [#permalink] New post   24 Feb 2020, 05:43
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Reservoir A contains 450 million gallons of water more than does Reservoir B. If 100 million gallons of water were to be drained from Reservoir A into Reservoir B, then Reservoir A would contain twice as much water as would Reservoir B. How many million gallons of water does Reservoir A currently contain?

A. 500

B. 600

C. 700

D. 800

E. 900


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Re: Reservoir A contains 450 million gallons of water more than [#permalink] New post   24 Feb 2020, 09:56
1
Carcass wrote:
Reservoir A contains 450 million gallons of water more than does Reservoir B. If 100 million gallons of water were to be drained from Reservoir A into Reservoir B, then Reservoir A would contain twice as much water as would Reservoir B. How many million gallons of water does Reservoir A currently contain?

A. 500

B. 600

C. 700

D. 800

E. 900


Kudos for the right answer and explanation[/m]


Here,

Let the qty of water in reservoir B = \(X\)

Then qty of water in reservoir A =\( X + 450\)

As per ques,

\((X + 450) - 100 = 2(X + 100)\)

or \(X = 150\)

Now in water in reservoir A = \(X + 450 = 150 + 450 = 600\)

**** Moreover, this ques can be back solved, Start from option C and move up or down as per the result
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Re: Reservoir A contains 450 million gallons of water more than [#permalink] New post   02 Aug 2020, 06:58
x +450 = A
x = B

X+450 - 100 = 2(x+100)
x = 250
Ans 550
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chacinluis
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Re: Reservoir A contains 450 million gallons of water more than [#permalink] New post   03 Aug 2020, 01:35
A=450+B

If 100 million gallons are drained from A then A becomes A-100, and if those 100 million gallons are given to B then B is now B+100

So if after this occurs A has twice what B has then we get the equality

A-100=2(B+100)
From here we solve for B in order to substitute into our initially equality

A-100=2B+200
A-300=2B
B=(1/2)A-150

Then plug into initial equality

A=450+(1/2)A-150
(1/2)A=300
A=600

Final Answer= 600
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