Question

3) A class of 168 students went on a field

trip. They took 6 vehicles, some vans and
some buses. Find the number of vans and
the number of buses they took if each van
holds 6 students and each bus hold 50
students.

Answer 1

They took 3 vans and 3 buses.

Step-by-step explanation:

Given:

• The number of students in the class = 168
• The number of vans and buses = 6
• The number of students each van can hold = 6

• The number of students each bus can hold = 5

To find:

The number of vans and the number of buses they took.

Step-by-step explanation:

Let the number of vans = v

Let the number of buses = b

The total number of vans and buses is 6:

`v+b=6`

⇒
`v=6-b....`Equation(1)

Each van holds 6 students and each bus hold 50 students.

The number of students on the trip is 168.

`6v+50b=168`....Equation(2)

Substitute equation (1) into equation (2):

`6v+50b=168`

`6(6-b)+50b=168`

Then solve the equation for b:

`36-6b+50b=168`

`44b=168-36`

`44b=132`

`(44b)/(44)=(132)/(44)`

`b=3`

Then, solve for v:

`v=6-b=6-3=3`

Answer:

They took 3 vans and 3 buses.