math word problem

Question

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 6 vans and 12 buses with 474 students. High School B rented and filled 6 vans and 14 buses with 544 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?

Answer 1

A: 6v +12b = 474

B: 6v +14b = 544

subtract 1st from 2nd equation, to get

2b = 544-474 = 70

b = 70/2 = 35 buses

v = (474-12(35))/6 = 9 vans