Question

A movie theater charges $5 for an adult ticket and $2 for a child ticket. If it sold 785 tickets for 3280, how many of each ticket were sold?

Answer 1

5x + 2y = 3280
x+y = 785

x = 785 - y

5*(785 - y) + 2y = 3280
3925 - 5y + 2y = 3280
3925 - 3280 - 3y = 0
645 = 3y
y=645/3=215
x=785-215 = 570

Adults - 570 tickets, childs - 215 tickets.

570*5 + 215*2 = 3280