Two travelers had just sat down under a tree to have lunch when a third one arrived. They decided to have lunch together as a trio. The first traveler had 3 loaves of bread, the second had 5 loaves, while the third had no bread at all. They shared the loaves amicably, and the third traveler, out of gratitude, gave his companions 8 talers.

How should they divide the talers?
An 8-pound loaf of bread was divided into 3 parts, so each of the 3 travelers received $\frac{8}{3}$ pounds of bread. The third traveler, in exchange for the $\frac{8}{3}$ pounds of bread, gave 8 thalers, meaning $\frac{1}{3}$ pound of bread was worth 1 thaler.

Since the first traveler ate $\frac{8}{3}$ pounds from his 3 pounds of bread, he gave the remaining $\frac{1}{3}$ pound to the third traveler and received 1 thaler in return.

The second traveler also ate $\frac{8}{3}$ pounds from his 5 pounds of bread, and gave the remaining $\frac{7}{3}$ pounds to the third traveler, thus receiving 7 thalers.

Varga Katalin, (Győr, Baross Gábor Public School, 2nd grade)