We appreciate your visit to A store sells both cold and hot beverages Cold beverages denoted as tex c tex cost 1 50 while hot beverages denoted as tex h. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve this problem, we need to represent the beverage sales situation using a system of linear equations. Let's break it down step-by-step:
1. Identify the Variables:
- Let [tex]\( c \)[/tex] be the number of cold beverages sold.
- Let [tex]\( h \)[/tex] be the number of hot beverages sold.
2. Price Information:
- Each cold beverage costs \[tex]$1.50.
- Each hot beverage costs \$[/tex]2.00.
3. Total Sales:
- The total receipts from selling the beverages was \[tex]$360.
4. Relationship Between Beverages Sold:
- It was given that 4 times as many cold beverages were sold as hot beverages.
5. Setting Up the Equations:
- Using the relationship between the number of beverages: Since 4 times as many cold beverages were sold as hot beverages, we can express this as:
\[
c = 4h
\]
- Using the total sales information: The total amount of money made from selling both types of beverages was \$[/tex]360. This can be expressed as:
[tex]\[
1.5c + 2h = 360
\][/tex]
6. System of Equations:
- We have two equations to represent the situation:
1. [tex]\( c = 4h \)[/tex] (This expresses the relationship between the number of cold and hot beverages sold.)
2. [tex]\( 1.5c + 2h = 360 \)[/tex] (This represents the total sales amount.)
These two equations together form the system of linear equations that represent the beverage sales on that Saturday.
1. Identify the Variables:
- Let [tex]\( c \)[/tex] be the number of cold beverages sold.
- Let [tex]\( h \)[/tex] be the number of hot beverages sold.
2. Price Information:
- Each cold beverage costs \[tex]$1.50.
- Each hot beverage costs \$[/tex]2.00.
3. Total Sales:
- The total receipts from selling the beverages was \[tex]$360.
4. Relationship Between Beverages Sold:
- It was given that 4 times as many cold beverages were sold as hot beverages.
5. Setting Up the Equations:
- Using the relationship between the number of beverages: Since 4 times as many cold beverages were sold as hot beverages, we can express this as:
\[
c = 4h
\]
- Using the total sales information: The total amount of money made from selling both types of beverages was \$[/tex]360. This can be expressed as:
[tex]\[
1.5c + 2h = 360
\][/tex]
6. System of Equations:
- We have two equations to represent the situation:
1. [tex]\( c = 4h \)[/tex] (This expresses the relationship between the number of cold and hot beverages sold.)
2. [tex]\( 1.5c + 2h = 360 \)[/tex] (This represents the total sales amount.)
These two equations together form the system of linear equations that represent the beverage sales on that Saturday.
Thanks for taking the time to read A store sells both cold and hot beverages Cold beverages denoted as tex c tex cost 1 50 while hot beverages denoted as tex h. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
