Question

In a parking lot 3/4 of the vehicle are cars, 1/5 are trucks, and the rest are buses. there are 4 buses. How many vehicles are in the parking lot?

Answer 1

First, we need to find the fraction of the buses

Fraction of buses = 1 - (3/4 + 1/5)

$\frac{3}{4}+\frac{1}{5}=\frac{15+4}{20}=\text{ }\frac{19}{20}$

Fraction of buses =

$1-\frac{19}{20}$$=\frac{20-19}{20}$$=\frac{1}{20}$

Let the number of vehicle be x

$\frac{1}{20}\text{ of x = 4}$$\frac{1}{20}\times x=4$$\frac{x}{20\text{ }}=\text{ 4}$

Multiply both-side of the equation by 20

$x=20$

The number of vehicles are 20