
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
Shenyang is a famous historical and cultural city in China, the birthplace of the Qing Dynasty, known as the "birthplace of one dynasty, two generations of emperors." After the founding of New China, Shenyang became an important heavy industrial base in China mainly focused on equipment manufacturing industry, known as the "Republic's equipment department," with the reputation of "the eldest son of the Republic" and "the Ruhr of the East." A travel agency in a certain city has customized a tour route to our city, with a charging standard as follows: if the number of people does not exceed 25, the average tour cost per person is 1000 yuan; if the number of people exceeds 25, for each additional person, the average tour cost decreases by 20 yuan. However, the average tour cost per person must not be less than 700 yuan. If the travel agency organized a tour group to our city and collected a total fee of 27000 yuan, find the number of people in this tour group.

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