Answer:
The volume of paint that covers the whole car is
gallons or one and a quarter gallons.
Step-by-step 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 = ![\frac{1}{4}\ gal](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5C%20gal)
∴ Whole volume of car requires paint = ![\frac{\frac{1}{4}}{\frac{1}{5}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B4%7D%7D%7B%5Cfrac%7B1%7D%7B5%7D%7D)
![=\frac{1}{4}\times \frac{5}{1}\\=\frac{5}{4}\\=1\frac{1}{4}\ gal](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B4%7D%5Ctimes%20%5Cfrac%7B5%7D%7B1%7D%5C%5C%3D%5Cfrac%7B5%7D%7B4%7D%5C%5C%3D1%5Cfrac%7B1%7D%7B4%7D%5C%20gal)
Therefore, the volume of paint that covers the whole car is
gallons or one and a quarter gallons.