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.

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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.┬а ┬аWe multiply the number of student tickets, 132, by the cost of the student tickets, y.┬а 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.

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