
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 a person orders 4 pairs of black socks and some pairs of blue socks, and the price of each pair of black socks is twice the price of each pair of blue socks, while the colors were reversed on the order form, causing his expenditure to increase by 50%, find the original ratio of the number of pairs of black socks to the number of pairs of blue socks.

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