The gasoline gauge on a van initially read 1/8 full. When 15 gallons of gasoline were added to the tank, the gauge then read 3/4 full. How many more gallons would be needed to fill the tank?
+2864 x can represent the total gallons of gasoline.
This means that when it was \(\frac{1}{8}\)full, it is \(\frac{1}{8}\)x.
So this means \(\frac{1}{8}x+15=\frac{3}{4}x\)
Solving we get 24 gallons in the entire tank.
It is currently three-quarters full, which is 18 gallons out of a total of 24 gallons.
This means we need \(\boxed{6}\) more gallons to fill the tank.
