
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
In a survey of a classroom, students were asked about their favorite type of snack. The results are shown in the table below, but the total number of students, $N$, is not indicated. Determine the smallest possible value of $N$ that allows all the percentages to serve as representations of the whole class:
\[\begin{tabular}{c c}\text{Snack type}&\text{Percent preference}\\ \hline Candy & 10\%\\ Cookies & 40\%\\ Popcorn & 20\%\\ Potato chips & 30\%\\ \hline\ & 100\%\\ \end{tabular}\]
A) 5  
B) 10  
C) 20  
D) 40

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