
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
Jane ordered 5 pairs of yellow socks and some additional pairs of red socks. The price of each pair of yellow socks was half that of a red pair. When the socks were delivered, the numbers of yellow and red pairs had been exchanged, resulting in a total bill that was 60% higher than originally expected. What was the ratio of the number of pairs of yellow socks to the number of pairs of red socks in Jane's initial order?

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