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.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

16x + 33y = 260, I think this is correct. Hope this helps!:)

Answer 2

X= cost of adult tickets
x= 2y= cost of adult ticket
y= cost of student tickets

64 multiplied by the cost of an adult ticket plus 132 multiplied by the cost of a student ticket equals the total earned of $1040.

64x+132y= $1040
Substitute x=2y into equation
64(2y)+132y=1040
128y+132y=1040
260y=1040
Divide both sides by 260
y= $4 cost of student ticket

2y= cost of adult ticket
Substitute y=$4 to find adult cost
2(4)= $8 cost of adult ticket

Student ticket= $4
Adult ticket= $8

Hope this helps! :)