The Full Feathered Purse
Brain teaserSkill: Insight
A poultry keeper has exactly 100 coins to spend and wants to return with exactly 100 birds. Roosters cost 5 coins each, hens cost 3 coins each, and chicks are sold at the rate of 3 chicks for 1 coin. The keeper must buy at least one bird of every kind, must spend all 100 coins, and cannot buy fractional birds or leave any coins unused.
How many different mixes of roosters, hens, and chicks satisfy all these conditions?
Your answer
How many different valid mixes of the three kinds of fowl are possible?
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Hints
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Hint 2Opens after hint 1
Hint 3Opens after hint 2
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