Chicken+Little's+Eggs

**Chicken Little's Eggs**  Chicken Little was going to town to sell her eggs when she met Henny Penny. Henny Penny looked into Chicken Little's basket and asked to buy half her eggs plus half an egg. After selling those, Chicken Little proceeded down the road again, only to run into Ducky Lucky, who also asked to buy half her eggs plus half an egg. This took place, and Chicken Little continued. When Chicken Little got to the edge of town, Goosey Loosey stopped her and asked to buy half her eggs plus half an egg, which Chicken Little provided. Then she went home, having sold all her eggs, without having to break a single egg! How many eggs did Chicken Little start with? Explain how you found the answer and demonstrate that it works. Chicken Little's Eggs By  Rachel Reusch Chicken Little started with seven eggs.
 * Extra **: Suppose Chicken Little's basket was not empty after selling eggs to Goosey Loosey. Can you find another number of eggs that Chicken Little could have started with, and the number she would have left, without having to break any eggs? Explain how you found it and demonstrate that it works.

Once upon time Chicken Little was selling her eggs, Henny Penny wanted to buy half her eggs and ½ of an egg. After she sold that 2 other people asked her the same thing. So when she got home she sold all her eggs. The question is how many eggs did Chicken Little have in her basket in the beginning? To figure out this problem you should avoid even numbers. Because if you had 6, ½ of 6 is 3 plus ½ is 3 and ½ so you will end up having one half of an egg, which is impossible. So I decided to use only odd numbers. This is why. Say you had 9, 1 half of 9 is 4 ½ + ½ = 5 which is a whole number which is good. I went through a whole bunch of odd numbers like 29, 19,17, 15, and so on. When I came to 7 it worked this is what I did. Half of 7 is 3 ½ + ½ is 4 7-4 is 3 so he had 3 eggs left. So now I did it again with the remaining eggs Half of 3 is 1 ½ + ½ if 2 3-2 is 1 so he had 1 egg left Half of 1 is ½ + ½ is 1 1 -1 is 0 so he didn’t have any eggs left!

Extra: Another number that would work is

Half of 23 is 11 ½ + ½ is 12 23-12 is 11 so he had 11 eggs left. So now I did it again with the remaining eggs Half of 11 is 5 ½ + ½ if 6 11-6 is 5 so he had 5 egg left

Half of 5 is 2 ½ + ½ is 3 5-3 is 2 so that works too!

 ** Chicken Little Eggs Solution By Brandon Hankinson And Michael Goodman **

Chicken Little was going to town to sell her eggs when she met Henny penny. Henny penny had bought half of chickens eggs plus a half an egg. After selling those Chicken little proceeded down the road and met Ducky Lucky and Ducky Lucky bought half of her eggs plus ½ of an egg. When Chicken Little got to the edge of town Goosey Loosey had bought half of Chicken Littles eggs plus half an egg. She went home selling all of her eggs! How many eggs did chicken start with? First I started trying 37. We took 37 in half which was 18 ½ which was 19 but then we realized 18 was an even number and we are trying to break an odd number to an odd number to an odd number. After that we tried many numbers and finally tried 7. We took 7 and cut it in half which was 3 ½ + ½ which = 4 and 7 – 4 is 3. Half of 3 is 1 ½ + ½ is 2 and 3-2 is 1. Finally, half that is ½ +1/2=1 and 1– 1 = 0.

Extra: Another way this would work is if he had 31 eggs. Half of 31 is 15 ½ When you add the extra half, you get 16, 31 – 16 = 15. Half of 15 is 7 ½ Then you add the extra Half which is 8, And 15–8 = 7, Half of 7 is 3 ½. When you add the extra half = 4, and 7 – 4 = 3!!!