Question

Write a system of equations and solve

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 number of buses they took if each car holds 5 students and each bus holds 45 students.

Answer 1

`c+b=7`

`5c+45b=195`


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

`5c+45b=195`


`5(7-b)+45b=195`

`35-5b+45b=195`

`35+40b=195`

`40b=160`

`b=4`


`c+(4)=7`

`c=3`


`cars:3 \\ buses:4`