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a community service group organizes a car wash that raises \\(7c - 18\\…

Question

a community service group organizes a car wash that raises \\(7c - 18\\) dollars and a spaghetti dinner that raises \\(6s - 45\\) dollars. which expression represents the total amount of money raised?

\\(13cs - 63\\)
\\(7c + 6s + 63\\)
\\(7c + 6s - 63\\)
\\(7c + 6s - 27\\)

Explanation:

Response

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</pre_analysis>

<reasoning>

Set up the sum of the two expressions

\[
(7c - 18) + (6s - 45)
\]

Combine like terms

\[
7c + 6s + (-18 - 45) = 7c + 6s - 63
\]
</reasoning>

<answer>
<mcq-option>(A) \(13cs - 63\)</mcq-option>
<mcq-option>(B) \(7c + 6s + 63\)</mcq-option>
<mcq-correct>(C) \(7c + 6s - 63\)</mcq-correct>
<mcq-option>(D) \(7c + 6s - 27\)</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Algebraic Expressions"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
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"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
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"Algebraic Expressions",
"Equivalent Expressions"
],
"new_concepts": [],
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"Algebraic Expressions",
"Equivalent Expressions"
]
}
</pre_analysis>

<reasoning>

Set up the sum of the two expressions

\[
(7c - 18) + (6s - 45)
\]

Combine like terms

\[
7c + 6s + (-18 - 45) = 7c + 6s - 63
\]
</reasoning>

<answer>
<mcq-option>(A) \(13cs - 63\)</mcq-option>
<mcq-option>(B) \(7c + 6s + 63\)</mcq-option>
<mcq-correct>(C) \(7c + 6s - 63\)</mcq-correct>
<mcq-option>(D) \(7c + 6s - 27\)</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Algebraic Expressions"
]
}
</post_analysis>