
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 split into classes with enrollments of 60, 30, 20, 5, and 5, but now there are 6 teachers with one of them not teaching any class. Let $t$ be the average value obtained if a teacher is picked at random who is actually teaching, 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) -20.25
B) -17.25
C) -18.5
D) -16.25
E) 0

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