
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
Tom ordered 5 pairs of black socks and a certain number of pairs of blue socks. The price per pair of black socks was three times that of the blue socks. When the order was filled, it was mistakenly swapped such that the number of pairs of the two colors got interchanged. This mishap increased the bill by 60%. Determine the ratio of the number of pairs of black socks to blue socks Tom originally intended to buy.
A) 5:14
B) 14:5
C) 7:19
D) 19:7

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