Question

At the movie theatre, child admission is $5.20 and adult admission is $8.50. On Sunday, four times as many adult tickets as child tickets were sold, for a total sales of $1332.80. How many child tickets were sold that day?

Answer 1

x= # adult tickets  y=# child tickets

4y=x
5.20y+8.50x=1332.80
Substitute
5.20y+8.50(4y)=1332.80
Solve for y
5.20y+34y=1332.80
39.2y=1332.8
y=34

Plug y into original equation
4(34)=x
136=x

34 children's tickets and 136 adult tickets were sold