
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
Ralph visited a shop and bought 15 pairs of socks for a total of $36. Some of the socks cost $2 a pair, some $3 a pair, and some $5 a pair. If he bought at least one pair of each type, how many pairs of $2 socks did Ralph buy?
- **A)** 9
- **B)** 10
- **C)** 11
- **D)** 12
- **E)** 13

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