The local amusement park is a popular field trip destination.

Question

The local amusement park 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 4 vans and 5 buses with 209 students. High School B rented and filled 8 vans and 11 buses with 447 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

Let V=number of students in vans

Let B= number of students in buses

4V + 5B= 209 -2(4V+5B= 209) -8V-10B= -418 elimination

8V+11B= 447

B = 29

Substitute 29 for B 4V +5(29)= 209

4V+145= 209

4V=64

V=16

a van carries 16 students and a bus 29 students