Question

A high school drama club is putting on their annual theater production. There is a maximum of 800 tickets for the show. The costs of the tickets are $6 before the day of the show and $9 on the day of the show. To meet the expenses of the show, the club must sell at least $5,000 worth of tickets. Write a system of inequalities that represent this situation.

A. 800B. 800>B-D
C. 800D. 800>B+D

Answer 1

Answer is shown below

Explanation:

Let x = number of presale tickets

y = number of day of show tickets

x + y =< 800

6x + 9y >= 5000

b) 6x + 9y >=5000

6(440) + 9y >=5000

y >= 262.2

263 tickets

440 advance purchase tickets added to 263 day of show tickets is 703 tickets, which is below the 800 ticket maximum.