Five loaves

Once upon a time, two travellers halted near a well. The first one took out 3 loaves out of his wallet, and the other one only two. When they began to eat, a third traveller appeared and asked them for some food. The two accepted him and they ate together the five loaves. The stranger gave them 5 lei ("lei", Romanian currency), said "Thank you" and left.
The first two travellers shared the money. The one who had had 3 loaves kept 3 lei for him and he gave 2 lei to the other. The one who had had 2 loaves wasn’t satisfied and he asked for the money to be shared equally. They couldn’t come to an agreement, so they went to a judge. How did the judge solve the problem?
The judge told them to cut every loaf in 3 equal pieces. There are 5* 3=15 pieces. Each of them ate 15:3=5 pieces. From the first one’s three loaves 3* 3=9 pieces were obtained. He himself ate 5 pieces, and the stranger ate the rest of 4 pieces. From the second one’s two loaves 2* 3=6 pieces were obtained. He himself ate 5 pieces, and the piece left (6-5=1) was given to the stranger. Therefore, the first traveller should take 4 lei, and the second one only 1 leu.
"Live and learn!"

Serban Boboc