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# Aquarium A holds 150 gallons more sea water than does Aquarium B, and

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
Aquarium A holds 150 gallons more sea water than does Aquarium B, and  [#permalink]

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08 Jul 2018, 20:26
00:00

Difficulty:

25% (medium)

Question Stats:

85% (01:17) correct 15% (02:06) wrong based on 26 sessions

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Aquarium A holds 150 gallons more sea water than does Aquarium B, and both aquariums are currently filled to capacity. If 20 gallons are removed from each aquarium, then Aquarium A would hold four times as much sea water as Aquarium B holds. What is the combined total number of gallons of sea water that can be held in both aquariums?

A) 290

B) 250

C) 220

D) 200

E) 70

_________________
Intern
Joined: 23 Jul 2017
Posts: 5
Re: Aquarium A holds 150 gallons more sea water than does Aquarium B, and  [#permalink]

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09 Jul 2018, 00:59
9
Water in A = X + 150
Water in B = X

Situation 2:
(x+150−20) = 4∗(x−20)
x+130 = 4x - 80
3x = 210
x = 70

Total capacity = x+(x+150) = 70+70+150 = 290

Therefore, the correct answer is Option A
##### General Discussion
MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 1928
Concentration: Nonprofit
GPA: 4
WE: Engineering (Computer Software)
Re: Aquarium A holds 150 gallons more sea water than does Aquarium B, and  [#permalink]

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08 Jul 2018, 20:44
2
Let x be the number of gallons in Aquarium B -> number of gallons in Aquarium A is x+150

If 20 gallons are removed from both the aquariums then the number of gallons in A is 4 times number of gallons in B

$$x+150-20 = 4*(x-20)$$

x = 70

Total capacity = x+x + 150 = 290

Hence Option A
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Director
Joined: 14 Dec 2017
Posts: 524
Location: India
Re: Aquarium A holds 150 gallons more sea water than does Aquarium B, and  [#permalink]

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08 Jul 2018, 23:25
Bunuel wrote:
Aquarium A holds 150 gallons more sea water than does Aquarium B, and both aquariums are currently filled to capacity. If 20 gallons are removed from each aquarium, then Aquarium A would hold four times as much sea water as Aquarium B holds. What is the combined total number of gallons of sea water that can be held in both aquariums?

A) 290

B) 250

C) 220

D) 200

E) 70

Let A & B be the capacity of Aquarium A & B respectively.

We have A = B + 150.....(I)

Now 20 gallons is removed from each tank & new relationship between A & B is

A - 20 = 4*(B - 20)........(II)

Solving (I) & (II), we get

B = 70 & A = 220

Hence Combined capacity, A + B = 290 gallons

Thanks,
GyM
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Re: Aquarium A holds 150 gallons more sea water than does Aquarium B, and &nbs [#permalink] 08 Jul 2018, 23:25
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