Question

A fuel tank is 1/6 full. When 2 gallons of gasoline are added, the tank becomes 1/4 full. What is the total fuel capacity of the tank in gallons?

Answer 1

24

Explanation:

Let x be the total fuel capacity of the tank, in gallons.

Then from the given information

x/6 + 2 = x/4,

Multiplying both sides by 12 to remove the fractions, we get

2x + 24 = 3x so x = 24.

Therefore, the total fuel capacity of the tank is 24 gallons.

Answer 2

24 gallons

Explanation:

Since the 2 gallons of gas increased the fill ratio from 1/6 to 1/4, we can find how much of the tank the 2 gallons filled by solving the equation 1/4 - 1/6 = 1/12. This means that each gallon of gas is 1/24th of the tank.

Thus, the tank has a fuel capacity of 24 gallons.