a university theater sold 556 tickets for a play, tickets cost $22 per adult tickets and $ 12 for senior citizen ticket, if the total receipt was 8492, how many senior citizen ticket were sold

Verified Answer :

Let no. of adult tickets be x and senior citizen tickets be y.

x + y = 556
22x + 12y = 8492

Solving by simultanous equations,
x = 182 adult tickets
y = 374 senior citizen tickets