Question

Ravi's gas tank is
2/5
full. After he buys
8
gallons of gas, it is
2/3
full. How many gallons can Ravi's tank hold?

Answer 1

what is \(\frac{2}{3}-\frac{2}{5}\) ?

Answer 2

fractions are annoying, but it is possible to subtract

Answer 3

ill try to elaborate more:
let's call the amount of gallons that Ravi's tank can hold x
and let's call the amount it has in it at the beginning y

so we have:
"Ravi's gas tank is 2/5 full"
(2/5) * x = y
now we are told that he buys 8 gallons so that means he has y+8 in it and it is 2/3 full
so :
(2/3) * x = y+8

we have two equations if we subtract the first from the second we get:
x * ((2/3) - (2/5)) = 8
can you find x now ?