Question

question 3 (5 points)
mary is selling chocolate bars to raise money. she earns $3 for each solid milk chocolate bar sold and $4 for each caramel-filled bar sold. if \\(m\\) represents the number of milk chocolate bars sold, and \\(c\\) represents the number of caramel bars sold, which of the following expressions represents the amount of money that mary has raised?

a) \\(3m - 4c\\)

b) \\(12mc\\)

c) \\(3m + 4c\\)

d) \\(\frac{m}{3} + \frac{c}{4}\\)

Explanation:

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<reasoning>

Identify earnings per item

Earnings from milk chocolate bars: \(3\) dollars per bar.
Earnings from caramel-filled bars: \(4\) dollars per bar.

Formulate total earnings expression

Let \(m\) be the number of milk chocolate bars sold.
Let \(c\) be the number of caramel bars sold.
Total money raised:
\[
3m + 4c
\]

Match with given options

The expression \(3m + 4c\) corresponds to option C.
</reasoning>

<answer>
<mcq-option>A) \(3m - 4c\)</mcq-option>
<mcq-option>B) \(12mc\)</mcq-option>
<mcq-correct>C) \(3m + 4c\)</mcq-correct>
<mcq-option>D) \(^{m}/_{3} + ^{c}/_{4}\)</mcq-option>
</answer>

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Answer:

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<reasoning>

Identify earnings per item

Earnings from milk chocolate bars: \(3\) dollars per bar.
Earnings from caramel-filled bars: \(4\) dollars per bar.

Formulate total earnings expression

Let \(m\) be the number of milk chocolate bars sold.
Let \(c\) be the number of caramel bars sold.
Total money raised:
\[
3m + 4c
\]

Match with given options

The expression \(3m + 4c\) corresponds to option C.
</reasoning>

<answer>
<mcq-option>A) \(3m - 4c\)</mcq-option>
<mcq-option>B) \(12mc\)</mcq-option>
<mcq-correct>C) \(3m + 4c\)</mcq-correct>
<mcq-option>D) \(^{m}/_{3} + ^{c}/_{4}\)</mcq-option>
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