
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
Three pitchers, each with a volume of $800$ mL, contain different drinks. The first pitcher contains orange juice and is $1/4$ full, the second pitcher also contains orange juice and is $1/3$ full, and the third pitcher, which contains apple juice, is $1/2$ full. Water is added to fill each pitcher completely, then all three pitchers are poured into one large container. What fraction of the mixture in the large container is orange juice?
A) $\frac{467}{2400}$
B) $\frac{1}{2}$
C) $\frac{1}{4}$
D) $\frac{1}{3}$
E) $\frac{1}{5}$

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