
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


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A high school conducted a family survey on 80 students randomly selected from the first-year students after the school started. After a period of time, another survey on academic performance was conducted on 100 students randomly selected from the same grade, and it was found that 20 students had been selected in the previous survey. Estimate the total number of first-year students in this school.

Present the answer in LaTex format: \boxed{Your answer}
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