Need help with this

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 11 vans and 12 buses with 412 students. High School B rented and

filled 9 vans and 2 buses with 126 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

11v + 12b = 412

9v + 2b = 192

Can you solve the system and answer?

Answer 2

OK, so what's going on here? Two trips in vans and on buses. Figure out what? How many kids in each van and on each bus. Important details: each van holds the same amount of kids and is full, each bus holds the same amount of kids and is full. We need two variables to hold our answers. Let V be the number of students in any one van and B be the number of students on any one bus. Now write two math sentences based on the info in the problem.

11V + 12B = 412

9V + 2B = 126

Use elimination to cancel out the Bs and then solve for V. Plug the value for V into the first equation and

solve for B. Good luck!