Question

A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus holds 45 students.

Answer 1

The number of cars is 3 and number of buses is 4

Solution:

Given that, a class of 195 students went on a field trip

Total number of students = 195

Let the number of cars be x

Let the number of buses be y

They took 7 vehicles, some cars and some buses

Therefore,

number of cars + number of buses = 7

x + y = 7 ------- eqn 1

Each car holds 5 students and each bus holds 45 students

Therefore, we can frame a equation as:

5 x number of cars + 45 x number of buses = total number of students

`5 * x + 45 * y=195`

5x + 45y = 195 --------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 7 - y ------- eqn 3

Substitute eqn 3 in eqn 2

5(7 - y) + 45y = 195

35 - 5y + 45y = 195

40y = 195 - 35

40y = 160

y = 4

Substitute y = 4 in eqn 3

x = 7 - 4

x = 3

Thus number of cars is 3 and number of buses is 4