Henry Ernest Dudeney/Puzzles and Curious Problems/149 - Sheep Stealing

by : $149$

 * Sheep Stealing
 * Some sheep stealers made a raid and carried off one-third of the flock of sheep, and one-third of a sheep.
 * Another party stole one-fourth of what remained, and one-fourth of a sheep.
 * Then a third party of raiders carried off one-fifth of the remainder and three-fifths of a sheep,
 * leaving $409$ behind.


 * What was the number of sheep in the flock?''