
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
To enrich the students' learning life, the ninth grade group of a school organized a spring outing. The charging standard of the travel agency they contacted is as follows: If the number of people does not exceed 25, the per capita activity cost is 100 yuan. If the number of people exceeds 25, for each additional person, the per capita activity cost decreases by 2 yuan, but the per capita activity cost shall not be less than 75 yuan. After the spring outing, the class paid a total of 2800 yuan to the travel agency for the activity fee. How many people in total participated in this spring outing?

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