An aquarium tank is 1/6 full of water. When 2 gallons of water are added, the tank becomes 1/4 full. What is the total capacity of the aquarium tank, in gallons?

The tank capacity is 24 gallons

Step-by-step explanation:

Let the tank capacity be c.

Then (1/6) c + 2 = (1/4) c, or (since the LCD is 12):

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

24/12 = c/12

Multiplying both sides by 12, we get:

24 = c

The tank capacity is 24 gallons.