A drama club earns $1040 from a production by selling 64 adult tickets and 132 student tickets.

Question

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.

Write a system of equations: x=___

___x+___y=1040

fill in the blanks.

Answer 1

x = 2y

64x + 132y = 1040

64(2y) + 132y = 1040

128y + 132y = 1040

260y = 1040

26y = 104

13y = 52

y = 52/13 = $4

x =27 = $8

check the answer, plug into the equation for total revenue

8(64) + 4(132) = 1040

512 + 528 = 1040