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

Question

kropot72 · Answer

Let a = number of adult tickets and s = number of senior tickets sold
a + s = 556
22a + 12s = 8492
Multiply the first equation by 22 and get:
22a + 22s = 12232
Subracting equations gives 10s = 3740
s = 374 senior tickets sold

callisto · Answer

let x and y be the number of  senior citizen and adult ticket sold respectively.
x+y = 556       => y= 556-x -(1)
12x + 22y = 8492 -(2)
Sub (1) into (2)
12x + 22(556-x) = 8492 
-10x = 8492-12232
10x = 3740
x=?

kropot72 · Answer

The number of adult tickeys sold is found by the substitution a + 374 = 556
a = 182