
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
Mr. Longfield gives an exam to two sections of his class. The mean of the scores of the students in the first section is $92$, and the second section's mean score is $78$. The ratio of the number of students in the first section to the number of students in the second section is $\frac{2}{3}$. What is the mean of the scores of all the students?
A) 82
B) 83
C) 83.6
D) 84
E) 85

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