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

radar · Answer

let x = number of adult tickets
let y = number of senior citizens.     then we know from the problem.
x+y =556        and further we know the cost of each ticket so
22x + 12y=8492

Now we have two equations with two unknowns we can use substitution.
x=556-y      determined from first equation.  now substitute in 2nd equa.
22(556-y)+12y=8492.   Now solve using  algebra
12232-22y+12y=8492
-10y=8492-12232
-10y=-3740
y=374
x=556-374=182

Always check (if you have time)
182 X 22 =4004
374 X 12 =4488
total           8492

Good!

anonymous · Answer

THANKS