
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
Tina has a collection of pennies, nickels, dimes, and quarters. The average coin value in her purse is 15 cents. If she adds two more dimes, the average value of all coins becomes 17 cents. How many quarters are in her purse originally?

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