QUESTION IMAGE
Question
a fruit stand sells mangoes for $3.49 per pound, papayas for $1.40 per pound, and coconuts for $1.24 per pound.
part a
which expression represents the total price of \\(m\\) pounds of mangoes, \\(p\\) pounds of papayas, and \\(c\\) pounds of coconuts?
- \\(6.13mpc\\)
- \\(6.13(m + p + c)\\)
- \\(3.49m + 1.40p + 1.24c\\)
- \\(3.49p + 1.40p + 1.24p\\)
part b
what is the total cost of 3 pounds of mangoes, 4 pounds of papayas, and 6 pounds of coconuts?
- $6.13
- $23.51
- $61.30
- $79.69
<pre_analysis>
{
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"question_count": 2,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
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"quick"
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"concepts_used": [],
"new_concepts": [
"Algebraic Expressions",
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"current_concepts": [
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}
</pre_analysis>
<reasoning>
Write the expression for the total cost
\[
\text{Total Cost} = 3.49m + 1.40p + 1.24c
\]
Substitute the given values into the expression
\[
\]
Calculate the final numerical value
\[
\]
</reasoning>
<answer>
Question 1
<mcq-option>(A) \(6.13mpc\)</mcq-option>
<mcq-option>(B) \(6.13(m + p + c)\)</mcq-option>
<mcq-correct>(C) \(3.49m + 1.40p + 1.24c\)</mcq-correct>
<mcq-option>(D) \(3.49p + 1.40p + 1.24p\)</mcq-option>
Question 2
<mcq-option>(A) \(\$6.13\)</mcq-option>
<mcq-correct>(B) \(\$23.51\)</mcq-correct>
<mcq-option>(C) \(\$61.30\)</mcq-option>
<mcq-option>(D) \(\$79.69\)</mcq-option>
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Algebraic Expressions"
]
}
</post_analysis>
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<pre_analysis>
{
"quality": "clear",
"question_count": 2,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [],
"new_concepts": [
"Algebraic Expressions",
"Evaluating Expressions"
],
"current_concepts": [
"Algebraic Expressions",
"Evaluating Expressions"
]
}
</pre_analysis>
<reasoning>
Write the expression for the total cost
\[
\text{Total Cost} = 3.49m + 1.40p + 1.24c
\]
Substitute the given values into the expression
\[
\]
Calculate the final numerical value
\[
\]
</reasoning>
<answer>
Question 1
<mcq-option>(A) \(6.13mpc\)</mcq-option>
<mcq-option>(B) \(6.13(m + p + c)\)</mcq-option>
<mcq-correct>(C) \(3.49m + 1.40p + 1.24c\)</mcq-correct>
<mcq-option>(D) \(3.49p + 1.40p + 1.24p\)</mcq-option>
Question 2
<mcq-option>(A) \(\$6.13\)</mcq-option>
<mcq-correct>(B) \(\$23.51\)</mcq-correct>
<mcq-option>(C) \(\$61.30\)</mcq-option>
<mcq-option>(D) \(\$79.69\)</mcq-option>
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Algebraic Expressions"
]
}
</post_analysis>