An aquarium tank is 1/6 full of water. When 2 gallons of water are added, the tank becomes 1/2 full. What is the total capacity of the aquarium tank, in gallons?

Let the capacity of a full tank ==T

1/2 - 1/6 ==1/3 - this is equivalent to 2 gallons.

1/3T == 2

T ==2 / (1/3) ==6 glallons - the capacity of the tank when full

24 gallons

( Tank capacity = c )

(1/6)c + 2 = (1/4)c

2c/12 + 24/12 = 3c/12, or

24/12 = c/12 ( choose which one )

Multiplying both sides by 12

= 24 = c