You and Steve are attending the field trip to the state fair. This year the senior
class at High School A and the senior class at High School B both planned trips
there. The senior class at High School A rented and filled 8 vans and 8 buses with
240 students. High School B rented and filled 4 vans and 1 bus with 54 students.
Every van had the same number of students in it as well did the buses. Find the number of students in each van and in each bus

Question

You and Steve are attending the field trip to the state fair. This year the senior 
class at High School A and the senior class at High School B both planned trips 
there. The senior class at High School A rented and filled 8 vans and 8 buses with 
240 students. High School B rented and filled 4 vans and 1 bus with 54 students. 
Every van had the same number of students in it as well did the buses. Find the number of students in each van and in each bus

amigatour · Answer

240=8x+8y 
54=4x+y 

I got x=8, y=22. 

I used substitution method. The elimination method works, too. 

Each van has 8 children and each bus has 22 children.