Question

a gasoline tank is initially 1/7 full. after some travel the tank is only 1/9 full. the tank is then filled to capacity by adding 24 gallons of gasoline. what is the capacity of the tank in gallons?

Answer 1

27 gallons is the capacity of the tank.

Explanation:

Let the capacity of the tank be x gallons.

Initial tank was filled =
`(1)/(7)x`

After travelling tank was found to have =
`(1)/(9)x`

24 gallons of gasoline was added to fill the tank completely.

`x=+(1)/(9)x+24`

`x-(1)/(9)x=24`

`(9x-1x)/(9)=24`

`(8x)/(9)=24`

`x=(24* 9)/(8)=27`

27 gallons is the capacity of the tank.