High School

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------------------------------------------------ A baker is calculating the charge for two types of cookies. What formula tells the cost in dollars if chocolate chip cookies are [tex]\$1.50[/tex] per dozen and lemon frosted cookies are [tex]\$2.50[/tex] per dozen?

Let [tex]c[/tex] be the number of dozens of chocolate chip cookies, [tex]L[/tex] be the number of dozens of lemon frosted cookies, and [tex]T[/tex] be the total charge.

Choose the correct answer:

A. [tex]T = 150c + 250L[/tex]
B. [tex]T = 1.50c + 2.50L[/tex]
C. [tex]T = 2.50c + 1.50L[/tex]

Answer :

To determine the total cost for the baker who is charging by the dozen for two different types of cookies, we need to use the given prices and formulate the correct equation. Here's the step-by-step process:

1. Identify the costs and variables:
- The cost for one dozen chocolate chip cookies is \[tex]$1.50.
- The cost for one dozen lemon frosted cookies is \$[/tex]2.50.
- 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. Formulate the total cost equation:
- The total cost for chocolate chip cookies would be the cost per dozen multiplied by the number of dozens, which is [tex]\( 1.50 \times c \)[/tex].
- The total cost for lemon frosted cookies would be the cost per dozen multiplied by the number of dozens, which is [tex]\( 2.50 \times L \)[/tex].

3. Combine these to get the total cost [tex]\( T \)[/tex]:
- [tex]\( T \)[/tex] is the sum of the costs for both types of cookies.
- So, [tex]\( T = 1.50c + 2.50L \)[/tex].

Thus, the correct formula that tells the total charge in dollars given the number of dozens of each type of cookie is:
[tex]\[ T = 1.50c + 2.50L \][/tex]

So the correct answer is:
[tex]\[ T=1.50c+2.50L \][/tex]