A Broadway theater has 490 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $160, main seats for $115, and balcony seats for $100. If all the seats are sold, the gross revenue to the theater is $58,150. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $50,150. How many of each kind of seat are there? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There are orchestra seats, (Type integers or fractions.) main seats, and balcony seats. O B. There are infinitely many solutions. There are (Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions.) orchestra seats, main seats, and z balcony seats, where z can be any real number. O C. There are infinitely many solutions. There are (Type expression using y and z as the variables. Use integers or fractions for any numbers in the expression.) orchestra seats, y main seats, and z balcony seats, where y and z can be any real number. O D. There are no combinations of seats that fit the conditions.

A Broadway theater has 490 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $160, main seats for $115, and balcony seats for $100. If all the seats are sold, the gross revenue to the theater is $58,150. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $50,150. How many of each kind of seat are there? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There are orchestra seats, (Type integers or fractions.) main seats, and balcony seats. O B. There are infinitely many solutions. There are (Type expressions using z as the variable. Use integers or fractions for any numbers in the expressions.) orchestra seats, main seats, and z balcony seats, where z can be any real number. O C. There are infinitely many solutions. There are (Type expression using y and z as the variables. Use integers or fractions for any numbers in the expression.) orchestra seats, y main seats, and z balcony seats, where y and z can be any real number. O D. There are no combinations of seats that fit the conditions.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 2T: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink....

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