SOLUTION: an auditorium has 500 balcony seats and 1800 main- level seats. If tickets for balcony seats will cost 15 dollars less than tickets for main- level seats, what should the prices be

Question 664774: an auditorium has 500 balcony seats and 1800 main- level seats. If tickets for balcony seats will cost 15 dollars less than tickets for main- level seats, what should the prices be for each type of ticket so that the total revenue from a sellout performance will be 84,500?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
an auditorium has 500 balcony seats
1800 main- level seats.
tickets for balcony seats will cost 15 dollars less than tickets for main- level seats,
sellout performance will fetch 84,500
main level seats cost x----------- 1800 seats
balcony seats cost x-15------------500 seats
1800x+500(x-15)=84500
1800x+500x-7500=84500
2300x= 84500+7500
2300x= 92000
x= 92000/230
x= 400
main level seats cost $400
balcony seats cost x-15 $385

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