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Karla has spent [tex]$48 on food. She bought milk, cheese, and meat. The milk cost half as much as the cheese, and the meat cost four times as much as the cheese.

Which equation would help you find the cost of the cheese? Let [tex]$[/tex]c[tex]$[/tex] be the amount spent on cheese.

A. [tex]$[/tex]c + 0.5c + 4c = 48[tex]$[/tex]
B. [tex]$[/tex]c + \frac{4c}{5c} = 48[tex]$[/tex]
C. [tex]$[/tex]c + 2c + 4c = 48$[/tex]



Answer :

GinnyAnswer
Let's carefully analyze the problem step by step.

1. Identify the Variables and Costs:
- We are asked to find the equation to determine the cost of cheese.
- Let [tex]\( c \)[/tex] be the cost of cheese.

2. Express the Costs of Other Items in Terms of Cheese:
- The milk costs half as much as the cheese. Therefore, the cost of milk is [tex]\( 0.5c \)[/tex].
- The meat costs four times as much as the cheese. Hence, the cost of meat is [tex]\( 4c \)[/tex].

3. Total Cost:
- Karla spent a total of [tex]\( \$48 \)[/tex] on food.
- This total includes the cost of milk, cheese, and meat.

4. Create the Equation:
- The sum of the cost of milk, cheese, and meat should be equal to [tex]\( \$48 \)[/tex].
- Thus, we can write the equation as:
[tex]\[ c + 0.5c + 4c = 48 \][/tex]

5. Verify the Equation:
- Combine the terms on the left side:
[tex]\[ c + 0.5c + 4c = 48 \][/tex]
- This simplifies to:
[tex]\[ 1.5c + 4c = 48 \][/tex]
[tex]\[ 5.5c = 48 \][/tex]

Considering this step-by-step breakdown, we see that the correct equation is:

[tex]\[ c + 0.5c + 4c = 48 \][/tex]

So the correct answer is:

[tex]\[ c + 0.5c + 4c = 48 \][/tex]

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