Algebra two word problem

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 1 van and 3 busses with 73 students. High school B rented and filled 6 vans and 13 busses with 333 students. Every van had the same number of students in it as did the busses. how many students can a van carry? how many students can a bus carry? I have gotten as far as 1V+3B=73 and 6V+13B=333, but i don't know how to execute the problem.

Answer 1

Solve the first equation for V:

 

V= 73-3B

 

substitute this value of V in the other equation:

 

6*(73-3B)+13B=333

 

solve for B,

 

once you have B, substitute that value into any or the equations to find the value of V.

 

Hope that helps.