
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
Mr. James has a cooking class with 40 students. At the beginning of the course, 40% of students considered themselves proficient in cooking, while 60% did not. By the end of the course, 50% claimed they were proficient. Given that all the new proficient students were previously non-proficient and some proficient students could have reconsidered their proficiency, find the difference between the maximum and minimum possible percentages of students who changed their opinion about their cooking skills.
**A)** 5%
**B)** 10%
**C)** 15%
**D)** 20%
**E)** 25%

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