Question

max found a pair of jeans on sale for 40 percent off. he used a coupon for an additional 20 percent off. if the original price of the pair of jeans was \\$68, what is the final price of the pair of jeans before taxes?

( ) \\$27.20
( ) \\$32.64
( ) \\$40.80
( ) \\$54.40

Explanation:

<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": [
"Multi-step Percent Problems"
],
"new_concepts": [],
"current_concepts": [
"Multi-step Percent Problems",
"Percent Decrease Estimation"
]
}
</pre_analysis>

<reasoning>

Identify the given values and target

We are given:

• Original price of the jeans: \(P_0 = \$68\)
• First discount (sale): \(40\%\) off
• Second discount (coupon): \(20\%\) off the sale price
• Target: Find the final price before taxes.

Calculate the sale price after the first discount

Using the Multi-step Percent Problems knowledge point:
\[
P_1 = P_0 \times (1 - 0.40)
\]
\[
P_1 = 68 \times 0.60 = 40.80
\]

Calculate the final price after the second discount

Using the Multi-step Percent Problems knowledge point:
\[
P_2 = P_1 \times (1 - 0.20)
\]
\[
P_2 = 40.80 \times 0.80 = 32.64
\]
</reasoning>

<answer>
<mcq-option>(A) $27.20</mcq-option>
<mcq-correct>(B) $32.64</mcq-correct>
<mcq-option>(C) $40.80</mcq-option>
<mcq-option>(D) $54.40</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": [
"Multi-step Percent Problems"
],
"new_concepts": [],
"current_concepts": [
"Multi-step Percent Problems",
"Percent Decrease Estimation"
]
}
</pre_analysis>

<reasoning>

Identify the given values and target

We are given:

• Original price of the jeans: \(P_0 = \$68\)
• First discount (sale): \(40\%\) off
• Second discount (coupon): \(20\%\) off the sale price
• Target: Find the final price before taxes.

Calculate the sale price after the first discount

Using the Multi-step Percent Problems knowledge point:
\[
P_1 = P_0 \times (1 - 0.40)
\]
\[
P_1 = 68 \times 0.60 = 40.80
\]

Calculate the final price after the second discount

Using the Multi-step Percent Problems knowledge point:
\[
P_2 = P_1 \times (1 - 0.20)
\]
\[
P_2 = 40.80 \times 0.80 = 32.64
\]
</reasoning>

<answer>
<mcq-option>(A) $27.20</mcq-option>
<mcq-correct>(B) $32.64</mcq-correct>
<mcq-option>(C) $40.80</mcq-option>
<mcq-option>(D) $54.40</mcq-option>
</answer>

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