
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
Sarah initially has six ounces of coffee in a twelve-ounce cup and six ounces of milk in another twelve-ounce cup. She first transfers one-third of the coffee from the first cup to the second. After stirring the second cup thoroughly, she then transfers one-fourth of the mixture in the second cup back to the first cup. Finally, after stirring both cups, she transfers one-fifth of the mixture 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) $\frac{1}{3}$
E) $\frac{1}{2}$

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