
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
Given that the price per pair of black socks is twice that of blue socks, and the number of pairs of black socks to blue socks originally intended by Mr. Lin is denoted by a ratio with 4, determine the ratio of the number of pairs of black socks to blue socks.

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