
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
In a store, the number of scarves sold is inversely proportional to the cost per scarf. If the store sells 30 scarves at a price of $10 each, how many scarves would they sell when the price increases to $15 each and a special tax of 10% on the new price is introduced?

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