Since we only care about adult tickets, we can eliminate the child's tickets right away.
t is adult tickets, and (200-t) is child tickets.
5t+3(200-t)=760
5t + 600 - 3t = 760
2t + 600 = 760
2t = 160
t = 80
80 adult tickets were sold, and 120 child tickets. 400+360=760 ■