# algebra

posted by nyjah

2) 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.
a) Write a system of inequalities that represent this situation.
b) The club sells 440 tickets before the day of the show. Is it possible to sell enough additional tickets on the day of the show to at least meet the expenses of the show? Justify your answer.
Aligned to CCLS: A.CED.3

1. Kuai

a) 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. So yes, it is possible.

2. Bedjine

263

## Similar Questions

1. ### math

for an annual fee of \$30 you can join a movie club that will allow you to purchase tickets for \$5.50 each at you local theater. If the theater charges \$8 for movie tickets write an solve an equation to determine how many movie tickets …
2. ### Math

The drama club raised a total of \$1,123.50 selling tickets to its production of Othello. Tickets cost \$4.50 for adults and \$2.00 for students. Three times as many student tickets were sold as adult tickets. Which system of equations …
3. ### math

30% of the tickets sold by a movie theater for the Friday night show were children's tickets at \$4 each. The rest of the tickets were sold at the full price of \$8.50. The movie theater collected \$360 just for the children's tickets. …
4. ### Algebra

A movie theater manager wants to know how many adults and how many children pay admission to a particular movie. The theater charges \$10.00 for adult tickets and \$5.00 for child tickets. At a showing where 210 tickets were sold the …
5. ### ratio

30% of the tickets sold by a movie theater for the Friday night show were children's tickets at \$4 each. the rest of the tickets were sold at the full price of \$8.50.the movie theater collected \$360 just for the children's tickets. …

The school received 14 rolls of free movie tickets from a local theater. There are 48 tickets in each roll. The school has 32 classes of 24 students each. If the school plans to give one ticket to each student, which of the following …
7. ### Algebra

Help? The school john goes to is selling tickets to the annual dance competition . On the first day of sales the school sold 2 senior citizen tickets and 13 student tickets for a total of \$108. The school took in\$144 on the second
8. ### Algebra 1

A drama club wants to raise at least \$500 in ticket sales for its annual show. The members of the club sold 50 tickets at a special rate of \$5. The usual ticket price the day of the show is \$7.50. At least how many tickets do they …
9. ### Algebra!

Can you please assist with this question: At a school production, adult tickets cost \$7.00 each and student tickets costs \$4. The Johnson family is going to the 7:30PM show and will purchase half as many adult tickets as student tickets. …
10. ### Algebra 1

A high school club has a performance, with 800 tickets to sell. Tickets are \$6 before the day of the show, and \$9 on the day of the show. They must sell \$5000 in tickets. How do I write a system of inequalities to represent the equation?

More Similar Questions