Answer: an adult ticket cost $8 and a student ticket cost $4
Step-by-step explanation:
Let x represent the cost of one student ticket.
Let y represent the cost of one adult ticket.
A drama club earns $1040 from a production. It sells a total of 64 adult tickets and 132 student tickets. It means that
132x + 64y = 1040 - - - - - - - - - -1
An adult ticket costs twice as much as a student ticket. It means that
y = 2x
Substituting y = 2x into equation 1, it becomes
132x + 64 × 2x = 1040
132x + 128x = 1040
260x = 1040
x = 1040/260 = 4
y = 2x = 2 × 4
y = 8
