Question

The gasoline gauge on a van initially read

1/4 full. When 12 gallons were added to the​ tank, the gauge read 3/4 full. How many more gallons are needed 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