
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
The average score of the first class is 90 and the average score of the second class is 75. The ratio of the number of students in the first class to the number of students in the second class is 2:3. Calculate the combined mean of the scores for both classes.

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