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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 xx represent the cost of an adult ticket and yy represent the cost of a student ticket.

Answer :

adult ticket = x
student ticket = y

An adult ticket costs twice as much as a student ticket. 
x = 2y

Total earnings is $1040
64x + 132y = 1040 

x = 2y ------------------------------ (1)
64x + 132y = 1040  -------------(2)
Sub (1) into (2)
64 (2y) + 132y = 1040
128y + 132y = 1040
260y = 1040
y = 4 ------- sub into (1)
x = 2(4) = 8

Student ticket = $4
Adult ticket = $8

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