
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
There are two bottles of alcohol, A and B, with different concentrations. Bottle A contains 2 kg of alcohol, and bottle B contains 3 kg of alcohol. 15% of the alcohol is poured out from bottle A, and 30% is poured out from bottle B, and after mixing, the concentration is measured to be 27.5%. The mixed alcohol is then poured back into bottles A and B to restore their original weights. Then, 40% of the alcohol is poured out from both bottles A and B, and after mixing, the concentration is measured to be 26%. Determine the original concentration of the alcohol in bottle A.

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