A rectangular aquarium is 2/3 filled with water and then is tilted on it's side until the water level coincides with one edge of the bottom . During the process , 6 quarts of water are poured out. what is the volume of the tank in quarts
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answer: 36
when water level coincides with 1 edge of the bottom when pouring (it means that the side that the water is coming out of coincides with 1 edge of the top), there is exactly 1/2 of the water to tank volumn. say tank volumn is x, we have
(2/3)x - (1/2)x = 6 quarts
2x/3 - x/2 = 6
(4x-3x)/6 = 6
x = 36
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