
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
Given that the average score for the morning group is 90 and the evening group is 80, and the ratio of the number of students in the morning group to the evening group is $\frac{4}{5}$, calculate the overall average score of the students from both groups.

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