Question

it takes one fourth of a gallon of paint covers one fifth of a car how much paint covers the whole car​

Answer 1

The volume of paint that covers the whole car is
`1(1)/(4)` gallons or one and a quarter gallons.

Explanation:

Let the volume of paint required to cover whole car be 'x'.

Given:

Volume of paint to cover one-fifth of a car = one-fourth of a gallon.

We use unitary method to determine the volume of paint required.

∵ One-fifth of a car requires paint =
`(1)/(4)\ gal`

∴ Whole volume of car requires paint =
`((1)/(4))/((1)/(5))`

`=(1)/(4)* (5)/(1)\\=(5)/(4)\\=1(1)/(4)\ gal`

Therefore, the volume of paint that covers the whole car is
`1(1)/(4)` gallons or one and a quarter gallons.