Question

marks food for lunch cost $12. the restaurant added a 5 percent sales tax, $0.60, to the bill. mark wants to pay a 20 percent tip on the total bill including sales tax. what is the amount of the tip?

$2.28
$2.40
$2.52
$3.00

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": [
"Tax Deduction Calculation"
],
"new_concepts": [
"Tip Calculation with Tax",
"Multi-step Percent Problems"
],
"current_concepts": [
"Tax Deduction Calculation",
"Tip Calculation with Tax",
"Multi-step Percent Problems"
]
}
</pre_analysis>

<reasoning>

Calculate the total bill including sales tax

Using the Tax Deduction Calculation knowledge point
\[

$$\begin{aligned} \text{Food Cost} &= \$12.00 \\ \text{Sales Tax} &= \$0.60 \\ \text{Total Bill} &= \$12.00 + \$0.60 = \$12.60 \end{aligned}$$

\]

Calculate the tip amount

We need to find \(20\%\) of the total bill calculated in the previous step.

• Convert the percentage to a decimal: \(20\% = 0.20\).
• Multiply the total bill by this decimal:

\[
\text{Tip} = \$12.60 \times 0.20 = \$2.52
\]
</reasoning>

<answer>
<mcq-option>(A) $2.28</mcq-option>
<mcq-option>(B) $2.40</mcq-option>
<mcq-correct>(C) $2.52</mcq-correct>
<mcq-option>(D) $3.00</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": [
"Tax Deduction Calculation"
],
"new_concepts": [
"Tip Calculation with Tax",
"Multi-step Percent Problems"
],
"current_concepts": [
"Tax Deduction Calculation",
"Tip Calculation with Tax",
"Multi-step Percent Problems"
]
}
</pre_analysis>

<reasoning>

Calculate the total bill including sales tax

Using the Tax Deduction Calculation knowledge point
\[

$$\begin{aligned} \text{Food Cost} &= \$12.00 \\ \text{Sales Tax} &= \$0.60 \\ \text{Total Bill} &= \$12.00 + \$0.60 = \$12.60 \end{aligned}$$

\]

Calculate the tip amount

We need to find \(20\%\) of the total bill calculated in the previous step.

• Convert the percentage to a decimal: \(20\% = 0.20\).
• Multiply the total bill by this decimal:

\[
\text{Tip} = \$12.60 \times 0.20 = \$2.52
\]
</reasoning>

<answer>
<mcq-option>(A) $2.28</mcq-option>
<mcq-option>(B) $2.40</mcq-option>
<mcq-correct>(C) $2.52</mcq-correct>
<mcq-option>(D) $3.00</mcq-option>
</answer>

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