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?
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7511ee99-ba4f-4135-8334-baa659c20dae%2F764de053-4a03-47a3-9cdb-441087b165a0%2Ftpv5a68_processed.jpeg&w=3840&q=75)
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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