Henry Ernest Dudeney/Puzzles and Curious Problems/286 - Unlucky Breakdowns
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Puzzles and Curious Problems by Henry Ernest Dudeney: $286$
- 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?
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Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Combination and Group Problems: $286$. -- Unlucky Breakdowns
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $247$. Unlucky Breakdowns