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In farmer Brown's hay loft there are a number of animals, in particular crows, mice and cockroaches. Being bored one day, I decided to count the animals and found there were exactly 150 feet and 50 heads in total, and there were twice as many cockroaches as mice. How many of each animal were there?

 [Ref: ZVYU] © Kevin Stone

Hint: Cockroaches have 6 feet, mice have 4 and birds have 2.

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