
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
A traveler carried 30kg of luggage from Shanghai to Beijing by plane. According to the Civil Aviation Administration's regulations: a passenger can carry up to 20kg of luggage for free. For the overweight part, each kilogram is charged at 1.5% of the plane ticket price. If the traveler bought a luggage ticket for 180 yuan, what should be the price of the plane ticket?

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