Answer by 55305(86) (Show Source): You can put this solution on YOUR website! Lets start with what fraction of the tank he filled with gas. So 1/2-1/6= 3/6-1/6= 2/6= 1/3 So he bought 1/3 as many gallons as the tank holds, which is 7 gallons. So that means his tank must hold 21 gallons.