# Chicken and a Half

Barry the 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 Barry the farmer need to produce one dozen eggs in six days?

### 10 guesses to Chicken and a Half

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• Margot

6 hens

• craig

18

• craig

3 chickens can produce 12 eggs in 6 days.

• Dude

Sorry all three answers are not correct. Keep trying.

• anant

three hens

• Dude

OK, everybody please argue with the answer I have as your trusty riddle dude. My answer is based on logic more than math.

My answer is 2. A hen and a half can lay an egg and a half in a day and a half = 1 hen lays 1 egg per day. To simplify it, just double it: 3 hens lay 3 eggs in 3 days = 1 hen lays 1 egg in 1 day. So 2 hens lay 12 eggs in 6 days.

• Alex

Dude, If 1.5 hens lay 1.5 eggs in 1.5 days shouldn’t one hen make one egg in 1.5 days still, not just 1 day? And then you can say that 1 hen would produce 2 eggs in 3 days and 4 eggs in 6 days. So if each hen can lay 4 in 6 days, you would need 3 hens (12 total/ 4 each) to lay 12 eggs in that same time frame.
I got 3 hens.

• Dude

Alex you are not following my simplification logic in your first sentence. 1.5 eggs in 1.5 days = 1 egg in 1 day. Then the math becomes much easier to understand. Of course my math is disputed.

1.5 eggs
RATE = ——————————————————— = 2/3 eggs/hen·day
1.5 hens × 1.5 days

By the rules of algebra, you can multiply both the numerator and denominator by 2, which is the same as multiplying by one. So, you can double the number of eggs to 3 in the numerator, and, in the denominator, you can double the hens or double the days, but you cannot double both. By multiplying everything by 2, I really multiplied the RATE by 2/(2×2) or 1/2, changing it from 2/3 to 1/3. Therefore, our farmer needs 3 hens to produce 12 eggs in 6 days.

I like disputed math and its relationship to English. Thank you Alex for making me expand my answer to include others.

• Nerd Roaster

Y’all is a bunch of nerds.

• Louis A. Iavecchia

8