Q:

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

Accepted Solution

A:
Answer:The volume of paint that covers the whole car is [tex]1\frac{1}{4}[/tex] 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 = [tex]\frac{1}{4}\ gal[/tex]∴ Whole volume of car requires paint = [tex]\frac{\frac{1}{4}}{\frac{1}{5}}[/tex][tex]=\frac{1}{4}\times \frac{5}{1}\\=\frac{5}{4}\\=1\frac{1}{4}\ gal[/tex]Therefore, the volume of paint that covers the whole car is [tex]1\frac{1}{4}[/tex] gallons or one and a quarter gallons.