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Classic Hens Eggs Puzzle

Classic Hens Eggs Puzzle - 22 March

A chicken farmer has figured out that a hen and a half can lay an egg and a half in a day and a half. How many hens does the farmer need to produce one dozen eggs in six days?

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  1. Three hens will lay 4 eggs each.

    Here's the logic:
    Hmm, 1.5 hens lay 1.5 eggs in 1.5 days
    doubled (to form usable whole numbers) is 3 hens laying 3 eggs, in the same 1.5 days.
    4 times the number of days (6) gives 4 X the number of eggs (3 eggs X 4 = 12 eggs)
    So, 3 hens taking 4 times as long (6 days) lay 12 eggs.

  2. why is 4 the assumed multiplier? the logic makes sense until "4" enters with no explanation.