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

Answer:

The number of passenger cars is $675$

The number of trucks is $525$

Step-by-step explanation:

Let

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

y-----> the number of trucks

we know that

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

$\frac{x}{y}=\frac{9}{7}$

$x=\frac{9}{7}y$ -----> equation B

equate equation A and equation B

$\frac{9}{7}y=y+150$

$\frac{9}{7}y-y=150$

$\frac{2}{7}y=150$

$y=525$

Find the value of x

$x=525+150=675$