Question

There are 150 more passenger cars than trucks on Highway. For every 9 passenger cars, there are 7 trucks. How many vehicles (trucks and passenger cars) are on the highway?

Answer 1

The number of passenger cars is
`675`

The number of trucks is
`525`

Explanation:

Let

x-----> the number of passenger cars

y-----> the number of trucks

we know that

`x=y+150` ----> equation A

`(x)/(y)=(9)/(7)`

`x=(9)/(7)y` -----> equation B

equate equation A and equation B

`(9)/(7)y=y+150`

`(9)/(7)y-y=150`

`(2)/(7)y=150`

`y=525`

Find the value of x

`x=525+150=675`