The senior class at high school A and high school B planned separate trips to the state fair. There senior class and 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 them as did the buses. How many students can a van carry?? How many students can a bus carry??

Let b be the number of students a bus can carry. Let v be the number of students a van can carry. We're given:

High School A: 10v + 6b = 276

High School B: 5v + 2b = 117

We have a system of equations. We can solve this 3 ways: