There were 60 guests / 2 = <<60/2=30>>30 women at my mother's birthday celebration.

There were 30 women + 15 men = <<30+15=45>>45 men and women.

So, 60 people - 45 men and women = <<60-45=15>>15 were children.

Then, 15 men / 3 = <<15/3=5>>5 men left.

Thus, 5 men + 5 children = 10 people left.

Therefore, 60 people - 10 people = <<60-10=50>>50 people stayed and enjoyed the birthday celebration.

# Answer

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<|im_start|>user
My mother celebrated her birthday with a total of 60 guests. Half of the guests are women, 15 are men, and the rest are children. In the middle of the celebration, 1/3 of the men and 5 children left. How many people stayed and enjoyed the birthday celebration?
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user
50
My mother celebrated her birthday with a total of 60 guests. Half of the guests are women, 15 are men, and the rest are children. In the middle of the celebration, 1/3 of the men and 5 children left. How many people stayed and enjoyed the birthday celebration?
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