
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
A store sold some pens on the first day. On the second day, the price of each pen was reduced by 1 yuan, and 100 more pens were sold. On the third day, the price of each pen increased by 3 yuan compared to the previous day, and 200 fewer pens were sold than the previous day. If the amount of money made each day was the same, what was the price of each pen on the first day in yuan?

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