A Broadway theater has 600 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $40, main seats for $25, and balcony seats for $20. If all the seats are sold, the gross revenue to the theater is $15,800. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $13,400. How many are there of each kind of seat? There are orchestra seats, main seats, and balcony seats.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
100%

A broadway theater has 600 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $40, main seats for $25, and balcony seats for $20. If all the seats are sold, the gross revenue to the theater is $15,800. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $13,400.

There are ____ Orchestra Seats, ____ main seats, and ___ balcony seats.

A Broadway theater has 600 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $40, main seats for $25, and balcony seats for $20. If all the seats are sold, the gross revenue to the theater is $15,800. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross
revenue is $13,400. How many are there of each kind of seat?
There are
orchestra seats,
main seats, and
balcony seats.
Transcribed Image Text:A Broadway theater has 600 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $40, main seats for $25, and balcony seats for $20. If all the seats are sold, the gross revenue to the theater is $15,800. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $13,400. How many are there of each kind of seat? There are orchestra seats, main seats, and balcony seats.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Inequality
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON