SOLUTION: The gasoline gauge on a van initially read 1/4 full. When 10 gallons were added to the tank, the gauge read 2/3 full. How many more gallons are needed to fill the tank?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The gasoline gauge on a van initially read 1/4 full. When 10 gallons were added to the tank, the gauge read 2/3 full. How many more gallons are needed to fill the tank?      Log On


   

Question 833695: The gasoline gauge on a van initially read 1/4 full. When 10 gallons were added to the tank, the gauge read 2/3 full. How many more gallons are needed to fill the tank?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Ten gallons is the difference between %282%2F3%29 full and %281%2F4%29 full. That lets you find the capacity of the tank.

Let T = the tank capacity.
%282%2F3-1%2F4%29T=10
%28%288-3%29%2F12%29T=10
%285%2F12%29T=10
.
Can you do the rest and answer your question?