math i need help

Question

yellowstone national park is a popular field trip destination. this year the senior class high school a an the senior class at high school b both planned trips there. the senior class at high school a rented and filled 5 vans and 12 buses with 442 students. high school b rented and filled 11 vans and 6 buses with 340 students. every van had the same number of students in it as did the buses. how many students can a van carry? how manny students can a bus carry?

Answer 1

This is 2 equations and 2 variables, a system of equations. First define your variables.

Let x = the number of students on a van

Let y = the number of students on a bus

5x+12y=442

11x+6y=340

This can be solved by substitution or elimination. I would probably pick elimination and multiply the second equation by -2 to get started. Are you able to solve?