An aquarium tank is 1/6 full of water. When 2 gallons of water are added, the tank becomes 1/3 full. What is the total capacity of the aquarium tank, in gallons?
Let m = maximum capacity of the aquarium tank, when 2 gallons of water are added to the current m/6 gallons of water, it becomes m/3.
Our equation is \({m\over6 } + 2 = {m\over3}\), multiply all the terms by 6. m + 12 = 2m, so m = 12.
The total capacity of the aquarium tank is 12 gallons.