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.
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:
3 cars and 4 buses
Step-by-step 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)