Question

Any help on the top question?

Answer 1

A total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.

Explanation:

Step 1:

Assume the number of non-commercial vehicles to be x and the number of commercial vehicles to be y.

It is given that for every 14 non-commercial vehicles there will be 5 commercial vehicles. So a ratio can be formed as follows;

`(x)/(14)` =
`(y)/(5)`, cross multiplying, we get
`5 x=14 y`, take this as equation 1.

Step 2:

It is also given that there were 108 more non-commercial vehicles than commercial vehicles. So

`x=y+108`, take this as equation 2.

If we solve equations 1 and 2, we will get the values of x and y.

Step 3;

Substitute equation 2 in equation 1.

`5(y+108)=14 y`,

`5y+540 = 14y`,

`y = (540)/(9) = 60`.

Substitute
`y = 60` in equation 2.

`x=60+108 = 168`.

So x = 168 and y = 60.

So a total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.