
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
In the senior choir of Guangming Community, there are 30 people aged between 60 and 70, 15 people aged between 71 and 75, and 10 people aged 76 and above. If a sample of $n$ elderly people is selected using stratified sampling to participate in an activity, and it is known that 3 people were selected from those aged between 71 and 75, calculate the total sample size $n$.

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