The first step to find the total number of gingerbread men is to add the number with each decoration: 6 men + 9 men = <<6+9=15>>15 men

Then subtract the number of gingerbread men with both decorations to find the total number of gingerbread men: 15 men - 3 men = <<15-3=12>>12 men

Then divide the number of gingerbread men with red hats by the total number and multiply by 100% to express the answer as a percentage: 6 men / 12 men * 100% = 50%

# Answer

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<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Anna is making gingerbread cookies. She gives 6 of them red hats, 9 of them blue boots, and 3 of them both red hats and blue boots. What percentage of the gingerbread men have red hats?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
50
Anna is making gingerbread cookies. She gives 6 of them red hats, 9 of them blue boots, and 3 of them both red hats and blue boots. What percentage of the gingerbread men have red hats?
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