One Hundred Fowl Problem (an old Chinese puzzle) A man buys 100 birds for $100. A rooster

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One Hundred Fowl Problem (an old Chinese puzzle) A man buys 100 birds for $100. A rooster is worth $10, a hen is worth $3, and chicks are worth $1 a pair. How many roosters, hens, and chicks did he buy if he bought at least one of each type?

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