) The ticket prices for a concert are shown in the following table. Price (in Australian dollars, S) Ticket Type Adult 15 Child 10 Student 12 A total of 600 tickets were sold. • The total amount of money from ticket sales was $7816. • There were twice as many adult tickets sold as child tickets. Let the number of adult tickets sold be x, the number of child tickets sold be y, and the number of student tickets sold be z. a) Write down three equations that express the information given above. b) Find the number of each type of ticket sold.

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Ticket Sales Analysis for Concert

The ticket prices for a concert are presented in the following table:

| Ticket Type | Price (in Australian dollars, $) |
|-------------|----------------------------------|
| Adult       | 15                               |
| Child       | 10                               |
| Student     | 12                               |

#### Additional Information:
- A total of 600 tickets were sold.
- The total revenue from ticket sales was $7816.
- There were twice as many adult tickets sold as child tickets.

#### Tasks:

a) **Equation Formulation**
   - Develop three equations that represent the information provided above.

b) **Ticket Quantity Calculation**
   - Determine the number of each type of ticket sold.

### Explanation

This exercise involves creating and solving equations based on the ticket sales data. By defining variables for each ticket type, you can build equations to reflect the total number of tickets sold, the revenues generated, and the relationship between different ticket types.
Transcribed Image Text:### Ticket Sales Analysis for Concert The ticket prices for a concert are presented in the following table: | Ticket Type | Price (in Australian dollars, $) | |-------------|----------------------------------| | Adult | 15 | | Child | 10 | | Student | 12 | #### Additional Information: - A total of 600 tickets were sold. - The total revenue from ticket sales was $7816. - There were twice as many adult tickets sold as child tickets. #### Tasks: a) **Equation Formulation** - Develop three equations that represent the information provided above. b) **Ticket Quantity Calculation** - Determine the number of each type of ticket sold. ### Explanation This exercise involves creating and solving equations based on the ticket sales data. By defining variables for each ticket type, you can build equations to reflect the total number of tickets sold, the revenues generated, and the relationship between different ticket types.
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