Category:Donkey and Mule Problems

This category contains results about Donkey and Mule Problems.

A Donkey and Mule problem is of the form:

$2$ participants are comparing their quantity of goods they own relative to the other.

Participant $1$ suggests transferring some of the goods of one of them to the other, and remarks on their relative quantities after that exchange.

Participant $2$ then suggests the same (or a similar) thing, but transferring the goods in the other direction, and again remarks on their relative quantities after that exchange.

From these remarks, $2$ simultaneous linear equations can be set up and (assuming the question is well-crafted) solved.

The name comes from the original setting of this problem concerning a donkey and a mule each carrying a number of sacks.