Question

A drama club earns $1040 from a production. It sells a total of 64 adult tickets and 132 student tickets. An adult ticket costs twice as much as a student ticket. a. Write a system of linear equations that represents this situation. Let x represent the cost of an adult ticket and y represent the cost of a student ticket.

Answer 1

The system of equations would be:

64x+132y = 1040
x = 2y

We multiply the number of adult tickets, 64, by the cost of the adult tickets, x.   We multiply the number of student tickets, 132, by the cost of the student tickets, y.  Together these add up to $1040.

We know that the cost of an adult ticket is twice as much as a student ticket, so x = 2y.