Three travelers meet. They sit down to eat. One traveler produces three loaves of bread, the second traveler produces four loaves. After the seven loaves are divided equally and eaten, the third traveler produces seven dimes and says, "Please divide there dimes equitably between the two of you."How much money should each of the first two travelers receive?
The key is the word equitably. At first glance it may appear that the first traveler should receive three dimes and the second should get the remaining four, but this would not be equitable. Each traveler has eaten 7/3 loaves of bread. The first traveler and the second traveler contributed (3-7/3)=2/3 loaves to the third traveler and the second traveler contributed (4-7/3)=5/3 loaves to the third traveler. For the distribution to be equitable, the first traveler should receive two dimes and the second traveler five dimes. -QED-