
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
Allen, Ben, and Cindy are painting a fence. The ratio of the amount of work Allen does to the amount Ben does to the amount Cindy does is $3:5:2$. If the fence requires a total of $300$ square feet to be painted, how many square feet does Cindy paint?

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