Question

the bill for dinner totaled $56 before tax and tip. the restaurant added a 6 percent sales tax. if sandra wants to include a 16 percent tip calculated on the bill before sales tax is added, what is the total cost of the dinner?

$59.36
$64.96
$68.32
$68.86

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

<reasoning>

Calculate the sales tax

Using the Multi-step Percent Problems knowledge point
\[
\text{Tax} = \$56 \times 0.06 = \$3.36
\]

Calculate the tip

Using the Tip Calculation with Tax knowledge point
\[
\text{Tip} = \$56 \times 0.16 = \$8.96
\]

Calculate the total cost

Using the Multi-step Percent Problems knowledge point
\[
\text{Total Cost} = \text{Bill} + \text{Tax} + \text{Tip} = \$56 + \$3.36 + \$8.96 = \$68.32
\]
</reasoning>

<answer>
<mcq-option>(A) $59.36</mcq-option>
<mcq-option>(B) $64.96</mcq-option>
<mcq-correct>(C) $68.32</mcq-correct>
<mcq-option>(D) $68.86</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": [
"Tip Calculation with Tax",
"Multi-step Percent Problems"
],
"new_concepts": [],
"current_concepts": [
"Tip Calculation with Tax",
"Multi-step Percent Problems"
]
}
</pre_analysis>

<reasoning>

Calculate the sales tax

Using the Multi-step Percent Problems knowledge point
\[
\text{Tax} = \$56 \times 0.06 = \$3.36
\]

Calculate the tip

Using the Tip Calculation with Tax knowledge point
\[
\text{Tip} = \$56 \times 0.16 = \$8.96
\]

Calculate the total cost

Using the Multi-step Percent Problems knowledge point
\[
\text{Total Cost} = \text{Bill} + \text{Tax} + \text{Tip} = \$56 + \$3.36 + \$8.96 = \$68.32
\]
</reasoning>

<answer>
<mcq-option>(A) $59.36</mcq-option>
<mcq-option>(B) $64.96</mcq-option>
<mcq-correct>(C) $68.32</mcq-correct>
<mcq-option>(D) $68.86</mcq-option>
</answer>

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