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QUESTION IMAGE

a fruit stand sells mangoes for $3.49 per pound, papayas for $1.40 per …

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

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 2,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
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"quick"
],
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"concepts_used": [],
"new_concepts": [
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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

\[

$$\begin{aligned} m &= 3 \\ p &= 4 \\ c &= 6 \\ \text{Total Cost} &= 3.49(3) + 1.40(4) + 1.24(6) \end{aligned}$$

\]

Calculate the final numerical value

\[

$$\begin{aligned} \text{Total Cost} &= 10.47 + 5.60 + 7.44 \\ &= 23.51 \end{aligned}$$

\]
</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>

Answer:

<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

\[

$$\begin{aligned} m &= 3 \\ p &= 4 \\ c &= 6 \\ \text{Total Cost} &= 3.49(3) + 1.40(4) + 1.24(6) \end{aligned}$$

\]

Calculate the final numerical value

\[

$$\begin{aligned} \text{Total Cost} &= 10.47 + 5.60 + 7.44 \\ &= 23.51 \end{aligned}$$

\]
</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>