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Answer :
To solve the problem of determining the total cost for dozens of two types of cookies being sold by a baker, we need to use a formula that takes into account the price per dozen of each type of cookie and the number of dozens being purchased.
Here’s a step-by-step breakdown of how to calculate the total charge:
1. Identify the Variables:
- Let [tex]\( c \)[/tex] represent the number of dozens of chocolate chip cookies.
- Let [tex]\( L \)[/tex] represent the number of dozens of lemon frosted cookies.
- Let [tex]\( T \)[/tex] represent the total charge in dollars.
2. Define the Costs:
- Chocolate chip cookies are priced at [tex]$1.50 per dozen.
- Lemon frosted cookies are priced at $[/tex]2.50 per dozen.
3. Formulate the Expression for Total Cost:
- To find the total cost [tex]\( T \)[/tex], we must account for the cost of each type of cookie, multiplied by the number of dozens being purchased.
- The cost of chocolate chip cookies is [tex]\( 1.50 \times c \)[/tex].
- The cost of lemon frosted cookies is [tex]\( 2.50 \times L \)[/tex].
4. Combine the Costs in a Single Formula:
- The total cost [tex]\( T \)[/tex] is the sum of the costs of the two types of cookies.
- Therefore, the formula is: [tex]\[ T = 1.50 \times c + 2.50 \times L \][/tex]
Thus, the correct formula for the total charge is:
[tex]\[ T = 1.50 C + 2.50 L \][/tex]
This formula accurately calculates the total charge based on the number of dozens of each type of cookie ordered.
Here’s a step-by-step breakdown of how to calculate the total charge:
1. Identify the Variables:
- Let [tex]\( c \)[/tex] represent the number of dozens of chocolate chip cookies.
- Let [tex]\( L \)[/tex] represent the number of dozens of lemon frosted cookies.
- Let [tex]\( T \)[/tex] represent the total charge in dollars.
2. Define the Costs:
- Chocolate chip cookies are priced at [tex]$1.50 per dozen.
- Lemon frosted cookies are priced at $[/tex]2.50 per dozen.
3. Formulate the Expression for Total Cost:
- To find the total cost [tex]\( T \)[/tex], we must account for the cost of each type of cookie, multiplied by the number of dozens being purchased.
- The cost of chocolate chip cookies is [tex]\( 1.50 \times c \)[/tex].
- The cost of lemon frosted cookies is [tex]\( 2.50 \times L \)[/tex].
4. Combine the Costs in a Single Formula:
- The total cost [tex]\( T \)[/tex] is the sum of the costs of the two types of cookies.
- Therefore, the formula is: [tex]\[ T = 1.50 \times c + 2.50 \times L \][/tex]
Thus, the correct formula for the total charge is:
[tex]\[ T = 1.50 C + 2.50 L \][/tex]
This formula accurately calculates the total charge based on the number of dozens of each type of cookie ordered.
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