What is 2/7 chicken, 2/12 Essex warbler and 3/8 terrapin? In a time interval four times longer, the same number of hens will produce four times the number of eggs, so 6 hens lay 24 eggs in 6 days.ģ. 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?Īssuming all hens behave similarly, and egg laying proceeds in linear way, we can state that 1.5 hens lay 1.5 eggs in 1.5 days.įour times the number of hens gives four times the number of eggs in the same time interval, i.e 6 hens lay 6 eggs in 1.5 days.
#Chicken math problem trial
Also, in response to the comments below, there are other ways to find the results than by trial and error, but these rely on some technical maths, such as remembering an algorithm, which is beyond the general reader.Ģ. NOTE: There was originally a typo above (as noticed by several readers in the comments).
The answer is that you would buy either zero cocks, 25 hens and 75 chicks, OR 4 cocks, 18 hens and 78 chicks, OR 8 cocks, 14 hens and 78 chicks, OR 12 cocks, 4 hens and 84 chicks. In other words we are looking for whole number solutions, and the only way to find them is trial and error. We can assume from the question that since we are dealing in animals, we cannot buy fractions of animals. Substitute that expression for the z in (C) and we get an equation that simplifies to 14 x + 8 y = 200. Multiply (B) by 3 to get (C) 15 x + 9 y + z = 300. If the number of cocks, hens and chicks are x, y and z. And perhaps this is why there are, in fact, four solutions.) (When the question was set in ancient China they were not able to do this since this technique had not yet been invented. We solve this problem by turning the question into two equations.
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