Find the number of students in each van and in each bus.

Question

The senior classes at High School A and High School B planned separate trips to the water park.
The senior class at High School A rented and filled 5 vans and 14 buses with 410 students. High
School B rented and filled 4 vans and 3 buses with 123 students. Every van had the same
number of students in it as did the buses.

Answer 1

Prateek,

You can do this the exact same way as the other problem:

 

Set up 2 equations:  5V + 14B = 410     eqn 1

                              4V +   3B = 123     eqn 2

 

Eliminate one variable by multiplying both equations by a number that will

cause them, when the equations are added together, to eliminate one variable.

I suggest multiplying eqn 1 by 4 and eqn 2 by -5 in order to eliminate V and

solve for B first.  Then substitute the value of B back into either eqn 1 or

eqn 2 to solve for V.