Question

The senior classes at High School A and High School B planned separate trips to the county fair.

Answer 1

Using a system of equations, it is found that:

• A van can carry 18 students.

• A bus can carry 38 students.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given by:

• Variable x: Number of students that a van can carry.

• Variable y: Number of students that a bus can carry.

A rented and filled 14 vans and 5 buses with 442 students, hence:

14x + 5y = 442.

High School B rented and filled 5 vans and 5 buses with 280 students, hence:

5x + 5y = 280.

Simplifying by 5:

x + y = 56.

y = 56 - x.

Hence:

14x + 5(56 - x) = 442.

9x = 162

x = 162/9

x = 18.

Then:

y = 56 - x = 56 - 18 = 38.

Hence:

• A van can carry 18 students.

• A bus can carry 38 students.

More can be learned about a system of equations at brainly.com/question/24342899

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