
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 carry out a comprehensive mathematics and practical activity, Xiaoming went to a wholesale and retail store to purchase the necessary tools. The store stipulates that if the tools are purchased in a certain quantity, payment can be made at the wholesale price; otherwise, payment must be made at the retail price. If Xiaoming buys one tool for each 9th-grade student in the school, he can only pay at the retail price, requiring $3600$ yuan. If he buys $60$ more tools, he can pay at the wholesale price, also requiring $3600$ yuan. If the payment for buying $60$ tools at the wholesale price is the same as buying $50$ tools at the retail price, find out how many 9th-grade students are in this school?

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