The Lion's Share: A Tale of Halving Cake and Eating It, Too

When Ant receives a special invitation to dine with Lion, she is ready to be on her best behavior. During dessert, the other guests do not mind their manners, and by the time the dessert cake reaches Ant, barely a crumb is left for her to share with the King! Baking a cake seems like the perfect way to make it up to him . . . until the other guests turn her kind gesture into a contest. Exactly how many cakes are fit for a king?