Solve each system below using either substitution or elimination. the final answer in (x, y) form.

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 12 vans and 12 buses with

768 students. High School B rented and filled 4 vans and 7 buses with 424 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?

Answer 1

4V+7B = 424

12V+21B =3(424) =1272

12V +12B=768

9B = 1272-768=504

B=504/9 = 56 students on each bus

4V =424-7(56) = 32

V=32/4 = 8 students on each van

(V,B) = (8,56) = (x,y)