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 hold 45 students.

Answer 1

3 cars and 4 buses

Explanation:

Let x = cars

Let y = buses

7 vehicles

x + y = 7

cars hold 5 students and each bus holds 45 students

5x + 45y = 195

Solve using subbstitution

x + y = 7

x = 7 - y

5x + 45y = 195

5(7 - y) + 45y = 195

35 - 5y + 45y = 195

35 + 40y = 195

-35 -35

40y = 160

y = 4 (buses)

x + y = 7

x + 4 = 7

x = 3 (cars)