Math and Cookies

Andy and George had three and five cookies respectively. They decided to eat them together for a snack. Before they started to eat, Jimmy joined them. Since he did not have any cookies, Jimmy offered $8 to share the cookies. After they ate, George gave $3 to Andy and kept $5 for himself. But Andy did not accept $3, and asked for more.

1. If you were the judge, what would be your conclusion for this case? In other words, was the sharing between George and Andy (i.e. $5 and $3 respectively) fair?
2. Make an argument for Andy.
3. Make an argument for George.

You may use the java applets to solve (or demonstrate the problem) in following URLs:

http://www.best.com/~ejad/java/patterns/patterns_j.shtml

http://www.best.com/~ejad/java/integers/integers.html

Submit your idea for an investigation to InterMath.