
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
Given that Anna tipped $3, Mike tipped $4, and Joe tipped $1, and Anna tipped 15% of her bill, Mike tipped 10% of his bill, and Joe tipped 5% of his bill, calculate the difference, in dollars, between the highest and the lowest bill among the three.

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