
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
In a kingdom of knights wearing either gold or silver armor, $\frac{3}{8}$ are in gold armor, and the rest are in silver. Out of all knights, $\frac{1}{4}$ are skilled in archery. It is known that the fraction of gold knights who are skilled in archery is three times the fraction of silver knights who are skilled in archery. What fraction of the gold knights are skilled in archery?
A) $\frac{2}{5}$  
B) $\frac{1}{3}$  
C) $\frac{3}{7}$  
D) $\frac{5}{12}$  
E) $\frac{1}{2}$

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