
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
In the middle of the school year,  $40\%$  of Poolesville magnet students decided to transfer to the Blair magnet, and  $5\%$  of the original Blair magnet students transferred to the Poolesville magnet. If the Blair magnet grew from  $400$  students to  $480$  students, how many students does the Poolesville magnet have after the transferring has occurred?

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