Posted by Anonymous on Tuesday, April 8, 2014 at 7:13pm.
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, Wednesday, April 9, 2014 at 10:19pm
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
Answer This Question
Related Questions
 Math  A theater has 4,650 seats. If the theater sells all the tickets for each ...
 Mathplease help  One concert ticket is $5 and the other is $9. There are 500 ...
 algebra  2) A high school drama club is putting on their annual theater ...
 Math  One concert ticket is $5 and the other is $9. There are 500 seats. My ...
 algebra  A movie theater has 400 seats. Tickets at the theater cost $8 for ...
 math  adult tickets to a play are $12 student tickets are only $8 if a theater ...
 managerial Accounting  Theater owners have to make competitive bids for the ...
 Math  Karen sells tickets a movie theater. Last night she sold 128 tickets for ...
 math (plz help)  In a movie theater, theater A has 30 seats in the first row. ...
 math  Theater Total Value of Ticket Sales A $1,600 B $2,000 C $1,800 D $4,800 E...
More Related Questions