
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]


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A school has a total of 2400 faculty and students. Using stratified sampling, a sample of 150 people was taken from all faculty and students. It is known that 135 students were included in the sample. Find the number of teachers in this school.

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