# math

Tickets for a certain show cost
​\$15​, \$24​,
​or, for VIP​ seats,
​\$41.
If
ninenine
times as many
​\$15
tickets were sold as VIP​ tickets, and the number of
​\$15
tickets sold was
55
more than the sum of the number of
​\$24
tickets and VIP​ tickets, sales of all three kinds of tickets would total
​\$46 comma 46,152.
How many of each kind of ticket would have been​ sold?

1. 👍 0
2. 👎 0
3. 👁 764
1. If the number of seats for the categories is x,y,z then just list the data:

x = 9z
x = 55+y+z
15x+24y+41z = 46152

Now just solve for x,y,z

1. 👍 1
2. 👎 1

## Similar Questions

1. ### algebra

A movie theater has 400 seats. Tickets at the theater cost \$8 for students, \$10 for adults, and \$7 for senior citizens. On a night when all the seats were sold, the theater made \$3,535 from ticket sales. If the number of adult

2. ### math

The drama club sold \$779 worth of tickets to the school play. Student tickets cost \$3 apiece and tickets for everyone else cost \$5 each. What equation relates the number of student tickets that were sold, s, and the number of

3. ### algebra

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

4. ### math

Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost \$40 and same-day tickets cost \$20 . For one performance, there were 55 tickets sold in all, and the total amount paid for them was

1. ### Algebra

On the opening night of a play at a local theatre, 895 tickets were sold for a total of \$10,514. Adult tickets cost \$14 each, children's tickets cost \$11 each and senior citizen tickets cost \$8 each. If the combined number of

2. ### algebra

One evening 1500 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost \$25 for covered pavilion seats and \$20 for lawn seats. Total receipts were \$35,000. How many of each type of tickets were sold? Let x

3. ### math

there are 500 seats in the auditorium. A concert was playing there and 1/5 of the seats were not filled. All the other seats that were filled cost \$5.00 a piece to sit in. HOw much money was made in concert tickets ?

4. ### math

There was a total of \$548 collected for tickets to the school play. The adult tickets cost \$6, and the student tickets cost \$4. If 12 more student tickets were sold than adult tickets, find the numbers of adult and student tickets

1. ### Math

Karen sells tickets a movie theater. Last night she sold 128 tickets for a total of \$1108. Adult's tickets cost \$10 and children's tickets cost \$6 how many of eac h kind of ticket did karen sell?

2. ### CIS 115

There are three seating categories at a stadium. For a softball game, Class A # seats cost \$15, Class B cost \$12. and Class C seats cost \$9. Design a modular # program that asks how many tickets for each class of seats were sold,

3. ### algebra 1

The attendance at a baseball game was 400 people. Student tickets cost \$2 and adult tickets cost \$3. Total ticket sales were \$1050. How many tickets of each type were sold?

4. ### C# Programming

There are three seating categories at an athletic stadium. For a baseball game, Class A seats cost \$15 dollars each, Class B seats cost \$12 each, and Class C seats cost \$9 each. Create an application that allows the user to enter