Henry Ernest Dudeney/Puzzles and Curious Problems/286 - Unlucky Breakdowns

by : $286$

 * Unlucky Breakdowns
 * On a day of great festivities, a large crowd gathered for a day's outing and pleasure.
 * They all agreed to pile into a bunch of wagons, each of which was to carry the same number of people.
 * But ten of the wagons broke down half way, so each of the other wagons then had to carry one more person than had been planned.


 * As they were about to start back, it was discovered that $15$ more of these wagons had become unserviceable,
 * and so there were three more people in each working wagon on the way back than started out.


 * How many people were there in the party?