Henry Ernest Dudeney/Puzzles and Curious Problems/135 - Distributing Nuts

by : $135$

 * Distributing Nuts
 * Aunt Martha bought some nuts.
 * She gave Tommy one nut and a quarter of the remainder;
 * Bessie then received one nut and a quarter of what were left;
 * Bob, one nut and a quarter of the remainder;
 * and, finally, Jessie received one nut and a quarter of the remainder.
 * It was then noticed that the boys had received exactly $100$ nuts more than the girls.


 * How many nuts had Aunt Martha retained for her own use?