Consider possible solutions to the following situations. After you have arrived at a decision, you will be asked to present and explain your solution to the rest of the class.
(1) John, Jerry, and Jill are heirs to their mother's estate that includes their family house, an automobile, a small mountain cabin, and $125,000 in cash (from investments and a life insurance policy). Devise a process that fairly divides this inheritance among the three siblings.
(2) The University of Colorado at Boulder has freshman, sophomore, junior, and senior classes of 3600, 2880, 2376, and 1188 respectively. The 25 seats on the University's student council are divided among the four classes. Devise a method for fairly dividing the 25 seats among the four classes.
(3) Moe, Larry, and Shemp (Curly has already eaten enough cake for one lifetime) want to divide a small cake among the three of them. Propose a method for dividing the cake that will satisfy all of them.