
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
Mrs. Johnson teaches two math classes. In her morning class, the average test score is 78, and in the afternoon class, the average score is 85. The number of students in the morning class is $\frac{2}{3}$ of the number in the afternoon class. Determine the average score of all students in both classes.
A) 81
B) 82
C) 83
D) 84
E) 85

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