
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
Cory needs to buy 18 identical notebooks and has a budget of $160. He must pay a $5 entrance fee at the store. Each notebook costs the same whole-dollar amount and a 5% sales tax is added to the price at checkout. What is the greatest possible price per notebook that allows Cory to stay within his budget?

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