A movie theater has at most 97 seats available. Each adult movie ticket costs ​$8​, and each child movie ticket costs ​$3. To make a​ profit, the theater must bring in more than $396 in ticket sales per show.   For a particular​ showtime, let A represent the number of adults in attendance and C represent the number of children in attendance.  A) In terms of A and​ C, write an inequality that represents the restriction on total occupancy. B) In terms of A and​ C, write an inequality that represents the restriction on total ticket sales.

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 movie theater has at most 97 seats available. Each adult movie ticket costs ​$8​, and each child movie ticket costs ​$3. To make a​ profit, the theater must bring in more than $396 in ticket sales per show.  
For a particular​ showtime, let A represent the number of adults in attendance and C represent the number of children in attendance.
 A) In terms of A and​ C, write an inequality that represents the restriction on total occupancy.
B) In terms of A and​ C, write an inequality that represents the restriction on total ticket sales.
 
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