
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
According to a sociological survey conducted in the 7th "Ya" class, it was found that 20% of students interested in mathematics are also interested in physics, and 25% of students interested in physics are also interested in mathematics. Only Pete and Vasya are not interested in either subject. How many students are there in the 7th "Ya" class, given that the number is more than 20 but less than 30?

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