
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]


system
Let $x$ be the number of students in Mina's high school. Given that Nina's high school has 5 times as many students as Mina's high school, the number of students in Nina's high school is $5x$. Furthermore, if 200 students were to transfer from Nina's high school to Mina's high school, the total number of students in Mina's high school would be $x+200$ and the total number of students in Nina's high school, after the transfer, would be $5x-200$. The problem states that after the transfer, the two schools would have twice as many students as the smaller school. Therefore, the equation $2(x+200) = 5x-200$ can be formed. Solving for $x$, we find that $x=800. Thus, there are $\boxed{4000}$ students in Nina's high school.

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