SOLUTION: A Broadway theater has 400 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 70 comma main seats for $ 60 comma and balcony seats for $ 35
Algebra.Com
Question 1154614: A Broadway theater has 400 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 70 comma main seats for $ 60 comma and balcony seats for $ 35. If all the seats are sold, the gross revenue to the theater is $ 21 comma 300. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 18 comma 500. How many are there of each kind of seat?
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
The description would be best based on this:
Theater has 400 seats.
Orchestra Seats, $70 each;
Main Seats, $60 each;
Balcony Seats, $35 each;
-
Gross Revenue, $21300;
-
If ALL the Main and Balcony seats sold and only HALF the Orchestra seats sold, Gross Revenue would be $18500.
--
--
r, Orchestra seats
m, Main seats
b, Balcony seats
Look at the first two equations, and see that both of them contain the expression, . The value for r should be found very quickly because the description and resulting equations allows two variables to be easily eliminated. Otherwise, solution methods may vary.
RELATED QUESTIONS
A Broadway theater has 400 seats, divided into orchestra, main, and balcony (answered by ikleyn)
A Broadway theater has 600 seats, divided into orchestra, main, and balcony seating.... (answered by htmentor)
Problema Solution
A Broadway theater has 700 seats, divided into orchestra,main (answered by ikleyn,greenestamps)
A Broadway theater has 600 seats, divided into orchestra, main, and balcony... (answered by ikleyn)
a theater has 15 seats, divided into balcony, main floor, and orchestra seating. Balcony... (answered by ikleyn)
A Broadway theater has 400 seats, divided into orchestra, main and balcony seating.... (answered by mananth,yogendra singh)
A broadway theater has 600 seats, divided into orchestra, main, and balcony seating.... (answered by rfer)
A Broadway theater has 700 seats, divided into orchestra, main, and balcony seating.... (answered by ankor@dixie-net.com)
A Broadway theater has 700 seats, divided into orchestra, main, and balcony... (answered by josgarithmetic,MathLover1,greenestamps)