Question

The indoor climbing gym 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 14 vans and 5 buses with 329 students. High School B rented and filled 11 vans and 5 buses with 281 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.

Answer 1

Explanation:

14 x + 5y = 329

11x + 5y = 281(vans is x and busses are y)

cancel out 'y' by making the '5y' in 11x + 5y = 281 negative

-1 (11x + 5y = 281) =

-11x -5y = -281

insert second equation

-11x -5y = -281

14x + 5y = 320

3x = 48

x = 16

substitute vans in one equation

11(16) + 5y = 281

5y = 105

y = 21