
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
Sam needs to buy 20 identical notebooks for his class. He has a total of $200$ in his budget. The shop charges a $5$ fee just for entering. Each notebook has the same price in whole-dollar amounts, and a $10\%$ sales tax applies to each notebook price. What is the highest price per notebook Sam can pay and still stay within his budget?

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