
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 $250$ 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 $100, 50, 50, 25, 15,$ and $10$. 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. Calculate $t-s$.
A) -30
B) -25
C) -22.13
D) -20
E) -15

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