
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 a class, a test was conducted. The average score of the boys was 4, the average score of the girls was 3.25, and the average score of the whole class was 3.6. How many boys and how many girls took the test if it is known that there are more than 30 and fewer than 50 students in the class?

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