A theater in Chicago sells balcony, lower box, and floor tickets to its patrons. A sold-out performance of a certain show will bring in $38,760 in revenue and fill up 800 balcony, 650 lower box, and 80 floor seats. If only 64 floor seats are sold, the sales will be the same as selling the difference of 724 balcony and 227 lower box seats. The cost of a floor seat is six dollars more than a lower box seat. What is the price of each type of ticket? If there was a pandemic and only 20% of the seats in each section could be filled with patrons, what would the total sales revenue of the theater be reduced to?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A theater in Chicago sells balcony, lower box, and floor tickets to its patrons. A sold-out performance of a certain show will bring in $38,760 in revenue and fill up 800 balcony, 650 lower box, and 80 floor seats. If only 64 floor seats are sold, the sales will be the same as selling the difference of 724 balcony and 227 lower box seats. The cost of a floor seat is six dollars more than a lower box seat. What is the price of each type of ticket? If there was a pandemic and only 20% of the seats in each section could be filled with patrons, what would the total sales revenue of the theater be reduced to?

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