
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
John and Peter went dining and tipped their server different amounts. John tipped $4$ dollars, which is $20\%$ of his bill. Peter tipped $3$ dollars, which is $15\%$ of his bill. What was the difference, in dollars, between their bills?

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