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seema bought a new pair of jeans that were on sale. the original price …

Question

seema bought a new pair of jeans that were on sale. the original price of the jeans was $56. the store had marked them down by 25 percent, and seema had a 20 percent off coupon as well.

what was the price of the jeans before tax?

$8.40
$16.80
$33.60
$42.00

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Bar Diagram Models",
"Multi-step Percent Problems"
],
"new_concepts": [],
"current_concepts": [
"Bar Diagram Models",
"Multi-step Percent Problems",
"Percent Decrease Estimation"
]
}
</pre_analysis>

<reasoning>

Calculate the sale price after the first markdown

Using the Bar Diagram Models and Multi-step Percent Problems knowledge points
\[

$$\begin{aligned} &\text{Original Price} = \$56\\ &\text{Markdown} = 25\%\\ &\text{Sale Price} = 56 \times (1 - 0.25) = 56 \times 0.75 = \$42 \end{aligned}$$

\]

Calculate the final price after the coupon

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} &\text{Coupon Discount} = 20\%\\ &\text{Final Price} = 42 \times (1 - 0.20) = 42 \times 0.80 = \$33.60 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) $8.40</mcq-option>
<mcq-option>(B) $16.80</mcq-option>
<mcq-correct>(C) $33.60</mcq-correct>
<mcq-option>(D) $42.00</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Multi-step Percent Problems"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Bar Diagram Models",
"Multi-step Percent Problems"
],
"new_concepts": [],
"current_concepts": [
"Bar Diagram Models",
"Multi-step Percent Problems",
"Percent Decrease Estimation"
]
}
</pre_analysis>

<reasoning>

Calculate the sale price after the first markdown

Using the Bar Diagram Models and Multi-step Percent Problems knowledge points
\[

$$\begin{aligned} &\text{Original Price} = \$56\\ &\text{Markdown} = 25\%\\ &\text{Sale Price} = 56 \times (1 - 0.25) = 56 \times 0.75 = \$42 \end{aligned}$$

\]

Calculate the final price after the coupon

Using the Multi-step Percent Problems knowledge point
\[

$$\begin{aligned} &\text{Coupon Discount} = 20\%\\ &\text{Final Price} = 42 \times (1 - 0.20) = 42 \times 0.80 = \$33.60 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-option>(A) $8.40</mcq-option>
<mcq-option>(B) $16.80</mcq-option>
<mcq-correct>(C) $33.60</mcq-correct>
<mcq-option>(D) $42.00</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Multi-step Percent Problems"
]
}
</post_analysis>