Question

A drama club earns $1040 from a production. A total of 64 adult tickets and and 132 student tickets are sold. An adult ticket costs twice as much as a student ticket. • write a system of linear equations that represents this situation. • what is the cost of each ticket?

Answer 1

one adult ticket costs twice as much as one student ticket so
cost of 1 student ticket=x
cost of one adult ticket=2x
total money made=1040
adults+students=1040 so
64(2x)+132(x)=1040
128x+132x=1040
260x=1040
divide both sides by 260
x=4
1 student ticket=$4
1 adult ticket=2x=2(4)=$8

Answer 2

$Equation: \\ (64*2x)+(132x)=1040 \\ (128x)+(132x)=1040 \\ (260x)=1040 \\ x=4 \\ student=4 \\ adult=8$