
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 combined average score of both groups can be calculated given that the average score in the first group is 88, the average score in the second group is 76, and the ratio of the number of students in the first group to the second group is $\frac{4}{5}$.

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