SOLUTION: 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

Algebra ->  Linear-equations -> SOLUTION: 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      Log On


   



Question 1021782: 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 45students.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Cars = x
Buses = y
x + y = 7.......(1)
5x + 45y = 195...(2)
Multiply (1) by 45
45x + 45y = 315....(1)
5x + 45y = 195.....(2)
Subtract (2) from (1)
40x = 120
x = 3
Substitute x = 3 into(1)
3 + y = 7
y = 4
3 cars + 4 buses
Hope this helps :-)