Use two variables and two equations. Solve by any method you choose. Write your answer in the appropriate form.

195 people went on a bus tour. They used 7 vehicles. Some were cars and some were buses.

If each car holds 5 people and each bus holds 45 people, how many of each vehicle did they need to take?

Question

Use two variables and two equations. Solve by any method you choose. Write your answer in the appropriate form.

195 people went on a bus tour. They used 7 vehicles. Some were cars and some were buses.

If each car holds 5 people and each bus holds 45 people, how many of each vehicle did they need to take?

nirmalnema · Answer

195 persons
7 vehicles were used
5 by 1 car at a time
45 by 1 bus at a time
let no bus be x
therefore no of car be 7-x
so
45(x)+5(7-x)=195
45x+35-5x=195
40x=160
x=4
means 4 buses and 3 cars were required
4*45+3*5=195