The manager of a movie theater wants to know the number of adults and children who go tom.

Question

The manager of a movie theater wants to know the number of adults and children who go to the movies. The theater charges $8 for each adult and $4 for each child. At a showing where 200 tickets were sold, the theater collected $1304. Write two equations and solve the system.

Answer 1

X=Number of adults attending

Y=Number of children attending

x+y=200

8x+4y=1304

y=200-x

8x+4(200-x)=1304

8x+800-4x=1304

4x+800=1304

4x=504

x=126

y=74