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# Reservoir A contains 450 million gallons of water more than does Reser

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
Reservoir A contains 450 million gallons of water more than does Reser  [#permalink]

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31 Oct 2018, 02:23
1
2
00:00

Difficulty:

45% (medium)

Question Stats:

64% (01:46) correct 36% (02:01) wrong based on 55 sessions

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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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Joined: 09 Jun 2018
Posts: 187
Location: United States
GPA: 3.95
WE: Manufacturing and Production (Energy and Utilities)
Re: Reservoir A contains 450 million gallons of water more than does Reser  [#permalink]

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31 Oct 2018, 06:06
2
Let A and B be capacity of each reservoir.

A = B + 450 ................. (1)
A-100 = 2*(B+100) .................. (2)

(2) becomes A = 2B + 300

Solving, we get B = 150, A = 600.

Option B
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Intern
Joined: 15 Oct 2018
Posts: 1
Re: Reservoir A contains 450 million gallons of water more than does Reser  [#permalink]

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09 Nov 2018, 04:59
1
I have got B too.
Why OA is A???
Math Expert
Joined: 02 Sep 2009
Posts: 58445
Re: Reservoir A contains 450 million gallons of water more than does Reser  [#permalink]

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09 Nov 2018, 05:03
FKarimov wrote:
I have got B too.
Why OA is A???

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It's B. Edited. Thank you.
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Joined: 19 Oct 2013
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GPA: 3.2
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Re: Reservoir A contains 450 million gallons of water more than does Reser  [#permalink]

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09 Nov 2018, 05:12
Bunuel 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

A = 450 + B

A - 100 = 2 (B+100)

450 + B - 100 = 2B + 200

350 + B = 2B + 200

B = 150

A = 600

To confirm this

600 - 100 = 500

2 (150+100) = 2 * 250 = 500

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Re: Reservoir A contains 450 million gallons of water more than does Reser   [#permalink] 09 Nov 2018, 05:12
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