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

a=adult ticket s=student ticket

64a+132s=$1040
a=2s
128a+132s=$1040
260tickets=$1040
$1040/260=$4
s=$4 (1s=$4x1)
a=$8 (2s=$4x2)

132s=$528 (132x$4)
64a=$512 (64x$8)
TOTAL=$1040