A youth group with 26 members is going skiing. Each of the five chaperones will drive a van or sedan. The vans can seat seven people, and the sedans can seat five people. Assuming there are no empty seats, how many of each type of vehicle could transport all 31 people to the ski area in one trip?

All I need to do is know what the two equations are to solve this using the substitution or elimination method. This is for my Algebra 2 class, if that helps. :)

Question

A youth group with 26 members is going skiing. Each of the five chaperones will drive a van or sedan. The vans can seat seven people, and the sedans can seat five people. Assuming there are no empty seats, how many of each type of vehicle could transport all 31 people to the ski area in one trip? 

All I need to do is know what the two equations are to solve this using the substitution or elimination method. This is for my Algebra 2 class, if that helps. :)

anonymous · Answer

identify variables
v = # vans
s = # sedans

First equation is v + s = 5 
They told you there were 5 chaperones all driving, so that mean it will be 5 vehicles in total.

So what do you think the other equation is?

anonymous · Answer

5s +7v = 31 ?