
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 the mean score of a morning class of students is $78$ and the mean score of an afternoon class of students is $65$, and the ratio of the number of students in the morning class to the number in the afternoon class is $\frac{2}{3}$, determine the mean score of all the students combined.

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