
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
Alice begins with six ounces of tea in a twelve-ounce cup and six ounces of milk in another cup of the same size. She then pours one-third of the tea from the first cup into the second and after mixing well, pours half of the mixture in the second cup back to the first. What fraction of the liquid in the first cup is now milk?
A) $\frac{1}{4}$
B) $\frac{1}{3}$
C) $\frac{3}{8}$
D) $\frac{2}{5}$
E) $\frac{1}{2}$

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