
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 Mark ordered 6 pairs of green socks and several pairs of red socks, the price of the green socks per pair was three times that of the red socks, and when the order was filled, the number of pairs of the two colors had been interchanged, increasing the bill by 20%, determine the ratio of the number of pairs of green socks to the number of pairs of red socks in the original order.

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