
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
Alice needs to buy 15 identical notebooks and has $\$160$. There is a $\$3$ entrance fee to the shop. Each notebook costs the same whole-dollar amount. Considering an $8\%$ sales tax is applied on the price of each notebook, what is the highest possible price per notebook that would allow Alice to buy all 15 notebooks?

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