We appreciate your visit to A store sells both cold and hot beverages Cold beverages tex c tex cost tex 1 50 tex while hot beverages tex h tex cost. 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 the problem of determining the correct system of linear equations representing the beverage sales on Saturday, let's break down the information given:
1. Cost of Beverages:
- Cold beverages, denoted as [tex]\( c \)[/tex], cost [tex]$1.50 each.
- Hot beverages, denoted as \( h \), cost $[/tex]2.00 each.
2. Sales Information:
- The total amount of money made from selling beverages was [tex]$360.
- Four times as many cold beverages were sold as hot beverages.
Now, let's translate this information into a system of equations:
- Equation 1 (Relationship between beverages):
Since four times as many cold beverages were sold as hot beverages, we can represent this relationship as:
\[
c = 4h
\]
- Equation 2 (Total sales equation):
The total sales from both cold and hot beverages amount to $[/tex]360. So, the equation representing the total cost of beverages sold is:
[tex]\[
1.5c + 2h = 360
\][/tex]
This equation accounts for the total revenue from the cold drinks ([tex]\(1.5c\)[/tex]) and hot drinks ([tex]\(2h\)[/tex]).
Thus, the correct system of linear equations that represents the beverage sales on Saturday is:
- [tex]\( c = 4h \)[/tex]
- [tex]\( 1.5c + 2h = 360 \)[/tex]
These equations together correctly model the scenario given in the problem.
1. Cost of Beverages:
- Cold beverages, denoted as [tex]\( c \)[/tex], cost [tex]$1.50 each.
- Hot beverages, denoted as \( h \), cost $[/tex]2.00 each.
2. Sales Information:
- The total amount of money made from selling beverages was [tex]$360.
- Four times as many cold beverages were sold as hot beverages.
Now, let's translate this information into a system of equations:
- Equation 1 (Relationship between beverages):
Since four times as many cold beverages were sold as hot beverages, we can represent this relationship as:
\[
c = 4h
\]
- Equation 2 (Total sales equation):
The total sales from both cold and hot beverages amount to $[/tex]360. So, the equation representing the total cost of beverages sold is:
[tex]\[
1.5c + 2h = 360
\][/tex]
This equation accounts for the total revenue from the cold drinks ([tex]\(1.5c\)[/tex]) and hot drinks ([tex]\(2h\)[/tex]).
Thus, the correct system of linear equations that represents the beverage sales on Saturday is:
- [tex]\( c = 4h \)[/tex]
- [tex]\( 1.5c + 2h = 360 \)[/tex]
These equations together correctly model the scenario given in the problem.
Thanks for taking the time to read A store sells both cold and hot beverages Cold beverages tex c tex cost tex 1 50 tex while hot beverages tex h tex cost. 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
