Question

Jessica's car has a gas tank that holds 18 3/5 gallons of gas. Jessica knows that the tank only has 3 1/3 gallons of gas left in it. How much gas would it take to fill up the gas tank?

Answer 1

Answer: It would take
`21(14)/(15)` gallons of gas to completely fill the tank.

Explanation:

Given: capacity of tank =
`18\frac35` gallons

`=(18*5+3)/(5)=(93)/(5)` gallons

Tank contains
`3\frac13` gallons of gas

i.e. it has
`(3*3+1)/(3)=(10)/(3)` gallons of gas.

Difference =
`(93)/(5)-(10)/(3)=(93*3+10*5)/(5*3)`

`=(329)/(15)\\\\=21(14)/(15)` gallons

Hence, it would take
`21(14)/(15)` gallons of gas to completely fill the tank.