Posted by Anonymous on .
A 3500seat theater sells tickets for $75 and $110. Each night the theater's expenses total $245,000. When all 3500 seats sell, the owners want ticket revenues to cover expenses plus earn a profit of 25% of expenses. How many tickets of each price should be sold to achieve this?

Math 
Henry,
X Tickets @ $75 each.
(3500X) Tickets @ $110 each.
75x + 110(3500x) = 245,000+0.25*245,000
75x + 385,000110x = 306,250
35x = 306,250385,000 = 78,750
X = 2250 Seats @ $75 each.
3500x=35002250 = 1250 seats @ @110each