Question

Senior classes high school A and high school B planned separate trips to New York City. The senior class at high school A rented and filled 1 van and 6 buses with 324 students. High school B filled 9 vans and 3 buses with 264 students. Each van in each bus carry the same number of students. How many students can a van carry? How many students can a bus carry? show work please

Answer 1

let van =v and bus=b
V+6B=324
9V+3B=264×2 this will become
18V+6B=528 minus equ 1 from equ 2
-17V=-204 divide both side by -17
V=-204/-17=12
if V is 12 put it in equ 1
12+6B=324,6B=324-12=312 divide both side by 6
B=312/6=52
therefore the van and bus will take 12 and 52 persons respectively