Winter Draws On :: Transum Puzzle of the Month

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Winter Draws On

In preparation for the cold weather, a large group of people dressed warmly in different ways.

One quarter of the people who wore hats also wore scarves and gloves.
One fifth of the people who wore scarves also wore hats and gloves.
One sixth of the people who wore gloves also wore hats and scarves.
There were twice as many people wearing exactly 2 items as were wearing exactly 3 of the mentioned items of clothing.

What fraction of the group wore all three items: hats, scarves and gloves?

Dressing up warmly

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