Concert tickets cost $15 for general admission, but only $9 with a student ID. Ticket sales total $4500. Write an equation that models this situation. If 150 general admission tickets were purchased, then how many tickets were purchased with a student ID?

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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**Problem Description:**

Concert tickets cost $15 for general admission, but only $9 with a student ID. Ticket sales total $4500. Write an equation that models this situation.

**Question:**

If 150 general admission tickets were purchased, then how many tickets were purchased with a student ID?

**Explanation:**

To solve this problem, we need to set up an equation that represents the total sales. Let \( x \) represent the number of general admission tickets sold and \( y \) represent the number of student ID tickets sold.

The equation based on ticket costs is:

\[ 15x + 9y = 4500 \]

We are given that 150 general admission tickets were purchased:

\[ x = 150 \]

Substitute \( x \) with 150 in the equation:

\[ 15(150) + 9y = 4500 \]

Solve for \( y \) to find out how many student ID tickets were purchased.
Transcribed Image Text:**Problem Description:** Concert tickets cost $15 for general admission, but only $9 with a student ID. Ticket sales total $4500. Write an equation that models this situation. **Question:** If 150 general admission tickets were purchased, then how many tickets were purchased with a student ID? **Explanation:** To solve this problem, we need to set up an equation that represents the total sales. Let \( x \) represent the number of general admission tickets sold and \( y \) represent the number of student ID tickets sold. The equation based on ticket costs is: \[ 15x + 9y = 4500 \] We are given that 150 general admission tickets were purchased: \[ x = 150 \] Substitute \( x \) with 150 in the equation: \[ 15(150) + 9y = 4500 \] Solve for \( y \) to find out how many student ID tickets were purchased.
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