
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
John has six ounces of tea in a twelve-ounce cup and six ounces of milk in another twelve-ounce cup. He pours one third of the tea from the first cup into the second cup and mixes thoroughly. After mixing, he transfers one fourth of the mixture from the second cup back into the first cup. Finally, he transfers one sixth of the liquid from the first cup back to the second cup. What fraction of the liquid in the first cup is now milk?
A) $\frac{1}{6}$
B) $\frac{1}{5}$
C) $\frac{1}{4}$
D) $\frac{1}{3}$

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