Dots sells T-shirts ($4) and shorts ($6). In April, total sales were $450. People bought 6 times as many T-shirts as shorts. How many T-shirts and shorts did Dots sell? Number of T-shirts Number of shorts

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 Statement:**

Dots sells T-shirts ($4) and shorts ($6). In April, total sales were $450. People bought 6 times as many T-shirts as shorts.

How many T-shirts and shorts did Dots sell?

**Solution Prompt:**

To solve this problem, we define:

- Let the number of shorts be \( x \).
- Therefore, the number of T-shirts is \( 6x \).

The total sales equation based on the sales is:

\[ 4(6x) + 6x = 450 \]

Simplify and solve for \( x \) to find out how many shorts were sold, and multiply \( x \) by 6 to find the number of T-shirts.
Transcribed Image Text:**Problem Statement:** Dots sells T-shirts ($4) and shorts ($6). In April, total sales were $450. People bought 6 times as many T-shirts as shorts. How many T-shirts and shorts did Dots sell? **Solution Prompt:** To solve this problem, we define: - Let the number of shorts be \( x \). - Therefore, the number of T-shirts is \( 6x \). The total sales equation based on the sales is: \[ 4(6x) + 6x = 450 \] Simplify and solve for \( x \) to find out how many shorts were sold, and multiply \( x \) by 6 to find the number of T-shirts.
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