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17 On Saturday, $585 was collected from the sale of 55 tickets for a performance. Adult tickets are $12 and student tickets cost 25% less than adult tickets. Find the number of adult tickets and numbe of student tickets sold on that day.

17 On Saturday, $585 was collected from the sale of 55 tickets for a performance. Adult tickets are $12 and student tickets cost 25% less than adult tickets. Find the number of adult tickets and numbe of student tickets sold on that day.

Algebra and Trigonometry (6th Edition)
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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Write a system of equation for each. Then solve.
**Problem 17: Ticket Sales Calculation** *Context:* On Saturday, a total of $585 was collected from the sale of 55 tickets for a performance. *Details:* - The price for an adult ticket is $12. - Student tickets are priced at 25% less than adult tickets. *Task:* Determine the number of adult tickets and student tickets sold that day. *Approach:* 1. Calculate the price of a student ticket. 2. Set up a system of equations based on the total sales and the total number of tickets. 3. Solve the equations to find the number of each type of ticket sold.
Transcribed Image Text:**Problem 17: Ticket Sales Calculation** *Context:* On Saturday, a total of $585 was collected from the sale of 55 tickets for a performance. *Details:* - The price for an adult ticket is $12. - Student tickets are priced at 25% less than adult tickets. *Task:* Determine the number of adult tickets and student tickets sold that day. *Approach:* 1. Calculate the price of a student ticket. 2. Set up a system of equations based on the total sales and the total number of tickets. 3. Solve the equations to find the number of each type of ticket sold.
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