Math CentralQuandaries & Queries


Question from Bren-Nesha:

A tank contains 200 gallons when it is 4/5 full. How many gallons does it contain when it is 1/6 full? I already know the answer but i would like to know how to arrive at the answer.


If 4/5 of the tank is 200 gallons then dividing by 4 would give 1/5 of the tank. Thus 1/5 of the tank is 200/4 = 50 gallons. You need 5 of these to fill the tank so the tank holds 5 × 50 = 250 gallons. Hence 1/6 of the tank is 250/6 gallons.


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