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Answer :
Sure, let's break down the problem to determine which system of linear equations represents the beverage sales on Saturday.
We have the following information:
1. Cold beverages, denoted as [tex]\( c \)[/tex], cost [tex]$1.50$[/tex] each.
2. Hot beverages, denoted as [tex]\( h \)[/tex], cost [tex]$2.00$[/tex] each.
3. The total sales amount on Saturday was [tex]$360.
4. Four times as many cold beverages were sold as hot beverages.
First, let's formulate the equations based on this information:
### Equation 1: Relationship between the Quantities Sold
Since four times as many cold beverages were sold as hot beverages, we can express this relationship as:
\[ c = 4h \]
### Equation 2: Total Sales Equation
The total revenue from selling these beverages is $[/tex]360. The revenue from cold beverages is [tex]\( 1.5c \)[/tex] dollars, and the revenue from hot beverages is [tex]\( 2h \)[/tex] dollars. Together, they contribute to the total sales of $360:
[tex]\[
1.5c + 2h = 360
\][/tex]
So the system of linear equations that represents the beverage sales on Saturday is:
1. [tex]\( c = 4h \)[/tex]
2. [tex]\( 1.5c + 2h = 360 \)[/tex]
These equations can be solved to find the number of cold and hot beverages sold. But in this context, the problem only asked you to identify these equations.
We have the following information:
1. Cold beverages, denoted as [tex]\( c \)[/tex], cost [tex]$1.50$[/tex] each.
2. Hot beverages, denoted as [tex]\( h \)[/tex], cost [tex]$2.00$[/tex] each.
3. The total sales amount on Saturday was [tex]$360.
4. Four times as many cold beverages were sold as hot beverages.
First, let's formulate the equations based on this information:
### Equation 1: Relationship between the Quantities Sold
Since four times as many cold beverages were sold as hot beverages, we can express this relationship as:
\[ c = 4h \]
### Equation 2: Total Sales Equation
The total revenue from selling these beverages is $[/tex]360. The revenue from cold beverages is [tex]\( 1.5c \)[/tex] dollars, and the revenue from hot beverages is [tex]\( 2h \)[/tex] dollars. Together, they contribute to the total sales of $360:
[tex]\[
1.5c + 2h = 360
\][/tex]
So the system of linear equations that represents the beverage sales on Saturday is:
1. [tex]\( c = 4h \)[/tex]
2. [tex]\( 1.5c + 2h = 360 \)[/tex]
These equations can be solved to find the number of cold and hot beverages sold. But in this context, the problem only asked you to identify these equations.
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