SOLUTION: That's the Ticket! There are 40 rows of seats in the Varsity Theater, with 20 seats in each row. During regular performances, all seats cost $12. A movie rents for $275 per

Algebra.Com
Question 1045728: That's the Ticket!
There are 40 rows of seats in the Varsity Theater, with 20 seats in each row. During regular performances, all seats cost $12.
A movie rents for $275 per performance. Explain how you could find the theater owner's profit for one performance if you knew the number of tickets sold. Ignore costs that are not mentioned.
(My answer: There are 800 seats. If it was all sold and then it would be $9600. Subtract 9600 & 275. He made: $9,325.)
Question I'm having trouble with:
For a special movie premiere, the theater owner decided to charge $20 per ticket for the first r rows of the theater and $15 for the remaining rows.
Explain how you could find the owner's total income if you knew the value of r and you knew that all of the tickets were sold.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
For a special movie premiere, the theater owner decided to charge $20 per ticket for the first r rows of the theater and $15 for the remaining rows.
Explain how you could find the owner's total income if you knew the value of r and you knew that all of the tickets were sold.
:
The revenue for the r rows:
Rev1 = 20r * $20
Rev1 = $400r
The revenue for the remaining rows
Rev2 = 20(40-r) * $15
Rev2 = (800 - 20r) * 15
Rev2 = 12000 - 300r
Total Rev = 12000 - 300r + 400r
total Rev = 12000 + 100r
Subtract the cost of the movie
Profit = 100r + 12000 - 275
Profit = 100r + 11725

RELATED QUESTIONS

A theater can seat 170 people. The number of rows is 7 less than the number of seats in... (answered by ewatrrr)
A theater can seat 216 people. The number of rows is 6 less than the number of seats in... (answered by Fombitz)
A theater can seat 713 people. The number of rows is 8 less than the number of seats in... (answered by fractalier)
A theater can seat 216 people. The number of rows is 6 less than the number of seats in... (answered by Alan3354)
A theater can seat 270 people. The number of rows is 3 less than the number of seats in... (answered by solver91311,ikleyn,greenestamps)
A theater can seat 144 people. The number of rows is 7 less than the number of seats in... (answered by Alan3354)
A theater can seat 160 people. The number of rows is 6 less than the number of seats in... (answered by ikleyn)
A theater can seat 247 people. The number of rows is 6 less than the number of seats in... (answered by ikleyn,greenestamps)
a theater is set up in a way which there are 20 seats in the first row and four... (answered by htmentor)