Question

It took 12 gallons of gas to fill the tank of the family car. This is 5/6 of the amount the tank can hold. How much gas does the tank hold?

Please answer in a fraction.

Answer 1

the car holds 14.4 gallons 12 times 6 divided by 5 is 14.4. 12 × 6 or 72/5

Answer 2

`(72)/(5)` gallons of gas.

Explanation:

It is given that 12 gallons of gas can fill the tank of the family car.

This is 5/6 of the amount the tank can hold.

Let x be the capacity of tank in gallons.

`(5)/(6)x=12`

Multiply both sides by 6.

`5x=12* 6`

`5x=72`

Divide both sides by 5.

`x=(72)/(5)`

Therefore, the tank can hold
`(72)/(5)` gallons of gas.