
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
Given Patty has a total of 30 coins made up of quarters and dimes, and if her quarters were swapped for dimes and her dimes for quarters, the total value of her coins would increase by $1.20, determine the original worth of her coins.

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