The state fair is a popular field trip destination. 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 did the buses. Find the number of students in each van and in each bus.
a - number of students in each van b - number of students in each bus 8a+8b=240 4a+b=54 => b=54-4a 8a+8(54-4a)=240 8a+432-32a=240 432-240=32a-8a 192=24a a=192/24=8 students in each van b=54-4*8=54-32=22 students in each bus
