SOLUTION: A youth group with 26 members is going on a skiing trip. Each of the 5 chaperones will drive either a van or sedan. The vans can seat seven people and the sedans can seat five peop

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: A youth group with 26 members is going on a skiing trip. Each of the 5 chaperones will drive either a van or sedan. The vans can seat seven people and the sedans can seat five peop      Log On


   

Question 817987: A youth group with 26 members is going on a skiing trip. Each of the 5 chaperones will drive either 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 for in one trip?
Can you please tell me the equations needed to solve this problem?
I have came up with 7v+5s=31 (v for vans and s for sedans) but I can not seem to come up with the other equation.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
There are 5 drivers, so there can only use 5 vehicles
highlight%28v%2Bs=5%29 .
There cannot be a vehicle driven by anyone else but the chaperones.
The youth group young people are not allowed to drive, at least not a vehicle with that many passengers.