
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
The ticket price for a friendly football match is 50 yuan. One hour before the game, there are still tickets available, so it is decided to reduce the price. As a result, the number of tickets sold increases by one-third, and the ticket revenue increases by one-quarter. By how many yuan was the ticket price reduced per ticket?

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