Question

The senior classes at High School A and High School B planned separate trips to the water park. The senior class at High School A rented and filled 4 vans and 14 buses with 528 students. High School B rented and filled 1 van and 10 buses with 353 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

There were 13 students in each van and 34 students in each bus.

Equation

Equation is an expression which is used to show the relationship between two or more variables and numbers.

Let x represent the number of student in each van and y represent the number of student in each bus.

School A rented and filled 4 vans and 14 buses with 528 students. Hence:

• 4x + 14y = 528     (1)

High School B rented and filled 1 van and 10 buses with 353 students. Hence:

• x + 10y = 353    (2)

Solving the equations simultaneously gives:

x = 13, y = 34

There were 13 students in each van and 34 students in each bus.

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