Question

The senior classes at 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 372 students. High School B
rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same
number of students. How many students can a van carry? How many students can a bus carry?
show work pls

Answer 1

van = v, bus = b, students = s

v + 6b = 372s ...eqn 1

4v + 12b = 780s ...eqn 2

divide eqn 2 by 4

v + 3b = 195s ...eqn 3

eqn 1 - eqn 3

3b = 177s

b = 59s

subst b = 59 in eqn 1

v + 354s = 372s

v = 18s

answer: each van holds 18 students and each bus holds 59 students