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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?

Re: Aquarium A holds 150 gallons more sea water than does Aquar [#permalink]
20 Sep 2017, 05:43

The statement in formulas becomes \(A=B+150\) and \(A-20=4(B-20)\). Substituting B from the first equation in the second one we get \(B=70\). Substituting B back in the first equation we get \(A=220\). Thus, the sum of the capacities is 290 and answer is A.

Re: Aquarium A holds 150 gallons more sea water than does Aquar [#permalink]
30 Jan 2018, 23:46

Let, aquarium B holds x gallon water. So aquarium A holds x+150 gallons. 20 gallons are removed from each aquarium, so A holds x+130 gallons and B holds x-20 gallons. Then according to the question x+130=4*(x-20) or, x=70

B holds 70 gallons, A holds 220 gallons. Together they hold 290 gallons. So A is the answer.