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 ->  Coordinate Systems and 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 912241: 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 by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let's cars be x and buses y
given: x%2By=7 ...eq.1
195 students went on a field trip
each car holds 5 students and each bus hold 45 students
5x%2B45y=195 ....eq.2
solve the system:
x%2By=7 ...eq.1
5x%2B45y=195 ....eq.2
___________________________
x%2By=7 ...eq.1 ...solve for x
x=7-y ...substitute in eq.2

5x%2B45y=195 ....eq.2
5%287-y%29%2B45y=195 ...solve for y
35-5y%2B45y=195
-5y%2B45y=195-35
40y=160
y=160%2F40
highlight%28y=4%29
find x
x=7-y
x=7-4
highlight%28x=3%29
so, the number of cars is highlight%28x=3%29 and the number of buses is highlight%28y=4%29
check:
5x%2B45y=195 ....eq.2
5%2A3%2B45%2A4=195
15%2B180=195
195=195