Question

A class used vans and buses to go on a field trip. They used 15 vehicles to go on a trip. Each van holds 9 students and each bus holds 30 students. If 282 students went on the trip then how many of each type of vehicle did the class use?

Answer 1

7 buses and 8 vans

Explanation:

We know that 292 students went on a trip. Each van holds 9 students and each bus holds 30 students and total 15 vehicles were used.

Assuming the vans as
`v` and buses as
`b`, we can make the following equations with the help of the given data:

`v+b=15` --- (1)

`9v+30b = 282` --- (2)

Using the substitution method:

`v=15-b`

Putting this value of
`v` in equation 2:

`9(15-b)+30b=282`

`135-9b+30b=282`

`21b=282-135`

`21b=147`

`b=7`

so
`v=15-7=8`

Therefore, 7 buses and 8 vans were used on the trip by the class.