Find the price of a senior citizen ticket and the price of a child ticket.

Question

The senior classes and Plum and Gateway planned separate trips to Kennywood. The senior class at Plum rented and filled 1 van and 7 buses with 206 students. The senior class at Gateway filled 14 vans and 11 buses with 448 students. Every van and every bus hold the same number of students in them. Find the number of students in each van and in each bus.

Answer 1

1x+7y=206

14x+11y=448

x=206-7y

14(206-7y)+11y=448

2884-98y+11y=448

2884-87y=448

2436-87y=0

2436=87y

28=y

x=206-7(28)

x=206-196

x=10