Question

The senior classes at High School A and High School B planned separate trips to the state fair. The senior class at High School A rented and filled 10 vans and 6 buses with 276 students. High school B rented and filled 5 vans and 2 buses with 117 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?

Answer 1

So from the situation you can set up a set of equation:

10v+6b=276
5v+2b=117

I will first solve for b
10v+4b=234
2b=42
Each bus holds 21 students.
5v+42=117
5v=75
v=25

In conclusion, each van holds 25 students and bus holds 21 students