Question 1110609
NoffCo theater contains 5000 seats that are sold. Ticket prices for a recent performance were $50 for adults and $25 for children. If the proceeds totaled $192,500, how many adults and how many children were there? 
a + c = 5000 tickets
50a + 25c = 192,500 dollars
-----------------------------
25a + 25c = 25*5000
25a + 12.5c = 96250
-----------------------
12.5c = 28750
c = 2300 (# of child tickets sold)
-------------
a = 5000-2300 = 2700 (# of adult tickets sold)
-------------
Cheers,
Stan H.
---------