Alan's gas tank is 1/4 full. After he buys gallons of gas, it is 5/8 full. How many gallons can Alan's tank hold?

Answer 1

1/4 full

add x gallons and it's 5/8 full

5/8-1/4=5/8-2/8 = 3/8 of the tank = x gallons

3T/8=x

T=8x/3

8x/3 =T= the tank capacity

if 9 gallons were added the capacity = 8(9)/3 = 24 gallons