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 buses taken if each car holds 5 students and each bus holds 45 students.

Please solve and show equations along with work, giving 95 points to the correct answer.

Answer 1

The number of cars taken: 3

The number of buses taken: 4

Explanation:

Lets b = # of buses and c = # of cars

b + c = 7 -------> b = 7 - c

45b + 5c = 195

Substitute b = 7 - c into 45b + 5c = 195

45(7 - c)+ 5c = 195

315 - 45c + 5c = 195

315 - 40c = 195

-40c = -120

c = 3

b = 7 - 3

b = 4

The number of cars taken: 3

The number of buses taken: 4