Question

The senior classes at High School A and High School B planned separate trips to the local amusement park. The senior class at High School A rented and filled 13 vans and 5 buses with 370 students. High School B rented and filled 12 vans and 10 buses with 600 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.

please show you work

Answer 1

10 students/van

48 students/bus

Explanation:

(a) 13v+5b = 370

(b) 12v+10b = 600

(a) - (b)

v -5b = -230

v = 5b-230

12(5b-230) + 10b = 600

60b+10b -2760=600

70b=3360

7b=336

b=48

v = 5(48) - 230 = 10

v = 10

Let's check

12(10) +10(48) = 600