
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 group of 3000 people consisting of adults and children, 40% of the group are children. Among the adults, half are women. If 25% of the women and 15% of the men were wearing sunglasses, and 5% of the children were wearing sunglasses, what was the total number of people wearing sunglasses?

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