Question

The gasoline gauge read 1/4 full. When 12 gallons were added to the tank the gauge read 3/4 full. How many more gallons to fill the tank

Answer 1

Initially, 1/4 of the tank was filled.

After adding 12 gallons, it was 3/4 full.

Increase in fuel filled portion =

`(3)/(4) - (1)/(4) = (3 - 1)/(4) = (2)/(4) \\`

So 2/4 of the tank = 12 gallons

1/4 of tank = 12 ÷ 2 = 6 gallons

4/4 of tank = 6×4 = 24 gallons
____________________

Portion remaining to be filled =


`1 - (3)/(4) = (4 - 3)/(4) = (1)/(4) \\`

Fuel needed = 1/4 × 24 = 6 gallons

So you need 6 more gallons to fill the tank