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

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Bunuel
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Aquarium A holds 150 gallons more sea water than does Aquarium B, and [#permalink] New post   08 Jul 2018, 21:26
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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
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Samridh09
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Re: Aquarium A holds 150 gallons more sea water than does Aquarium B, and [#permalink] New post   09 Jul 2018, 01:59
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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
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Re: Aquarium A holds 150 gallons more sea water than does Aquarium B, and [#permalink] New post   08 Jul 2018, 21:44
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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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Re: Aquarium A holds 150 gallons more sea water than does Aquarium B, and [#permalink] New post   09 Jul 2018, 00:25
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


Answer A.



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GyM
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Re: Aquarium A holds 150 gallons more sea water than does Aquarium B, and [#permalink]
09 Jul 2018, 00:25
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