Home > Golden Oldie Problem

What...No Pigs?

A problem supposedly posed by the great Leonhard Euler:

For 100 crowns, a certain farmer bought some horses, goats, and sheep. For a horse, he paid 3 1/2 crowns, for a goat, 1 1/3 crowns, and for a sheep, 1/2 crown. Assuming he bought at least 7 of each and that he bought 100 animals in all, how many horses, goats, and sheep did he buy?