Question

The senior class at High School A rented and filled 6 vans and 3 buses with 225 students. High School B rented and filled 3 vans and 5 buses with 291 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

The solution involves setting up and solving a system of linear equations to find the number of students per van and bus, designated by v and b, which can be solved via substitution or elimination to determine the consistent carrying capacity for both High School A and B.

Step-by-step explanation:

The question involves setting up a system of linear equations based on the given information and then solving for the number of students in each van and each bus. We're given two scenarios involving High School A and High School B, with different numbers of vans and buses, but the number of students each van and bus can carry is consistent across both schools.

Let v represent the number of students in each van and b represent the number of students in each bus. From High School A we have:

• 6v + 3b = 225

From High School B we have:

• 3v + 5b = 291

Now we have a system of two equations with two variables, which we can solve using methods such as substitution or elimination.

Solving the system gives us the number of students in each van and each bus.