
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
A school has $120$ students and $6$ teachers. In the first period, each student is taking one class, and each teacher is teaching one class. The enrollments in the classes are $60, 30, 15, 10, 3,$ and $2$. Let \( t \) be the average value obtained if a teacher is picked at random and the number of students in their class is noted. Let \( s \) be the average value obtained if a student was picked at random and the number of students in their class, including the student, is noted. What is \( t-s \)?
A) -25.0  
B) -20.316  
C) -15.0  
D) 0  
E) 20.316

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