Question

64% of what number is 144?

Explanation:

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"new_concepts": [
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</pre_analysis>

<reasoning>

Translate the percentage statement into an equation

\[
0.64 \cdot x = 144
\]

Solve for the unknown number

\[
x = \frac{144}{0.64}
\]

Calculate the final value

\[
x = 225
\]
</reasoning>

<answer>
64% of what number is 144? <blank>225</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Percentage Equations"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
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"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
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"Linear Equation Solutions"
],
"new_concepts": [
"Percentage Equations"
],
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"Linear Equation Solutions",
"Percentage Equations"
]
}
</pre_analysis>

<reasoning>

Translate the percentage statement into an equation

\[
0.64 \cdot x = 144
\]

Solve for the unknown number

\[
x = \frac{144}{0.64}
\]

Calculate the final value

\[
x = 225
\]
</reasoning>

<answer>
64% of what number is 144? <blank>225</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Percentage Equations"
]
}
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