
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
Adrian needs to buy 20 identical socks. He has a total of $\$180$ and there's a $\$3$ entrance fee at the discount store. The price per sock is a whole-dollar amount, and a $6\%$ sales tax applies on each sock. What is the maximum price per sock that Adrian can afford to let him buy exactly 20 socks?

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