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)

`(3)/(4)+(1)/(5)=(15+4)/(20)=\text{ }(19)/(20)`

Fraction of buses =

`1-(19)/(20)`
`=(20-19)/(20)`
`=(1)/(20)`

Let the number of vehicle be x

`(1)/(20)\text{ of x = 4}`
`(1)/(20)* x=4`
`\frac{x}{20\text{ }}=\text{ 4}`

Multiply both-side of the equation by 20

`x=20`

The number of vehicles are 20