
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
Our Slovak grandmother shopped at a store where they had only apples, bananas, and pears. Apples were 50 cents each, pears were 60 cents each, and bananas were cheaper than pears. Grandmother bought five pieces of fruit, with exactly one banana among them, and paid 2 euros and 75 cents.

How many cents could one banana cost? Determine all possibilities.

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