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A Chicken and Egg Situation

Question

If a hen and a half lays an egg and a half in a day and a half, how many eggs do half a dozen hens lay in half a dozen days?

Courtesy of Alex Bellos. Think Twice

Assuming all hens behave similarly and that egg laying proceeds in a linear way, we can state that 1.5 hens lay 1.5 eggs in 1.5 days. Four times the number of hens will lay four times the number of eggs in the same time interval, i.e. six hens lay six eggs in 1.5 days.

In a time interval that is four times longer, the same number of hens will produce four times the number of eggs, so six hens will lay 24 (two dozen) eggs in six days.