Answer
There were 17 children, with 11 sweets each.
Reasoning
If we number the clues: each child had more than one sweetthere were more children than there were sweets per child
187 only has the factors 1, 11, 17, 187. Therefore, the only possible answers are:
1 child, with 187 sweets each, which is not allowed by (2)
11 children, with 17 sweets each, which is not allowed by (2)
17 children, with 11 sweets each (*)
187 children, with 1 sweet each, which is not allowed by (1)
Only one possible answer (*) isn't eliminated.
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Puzzle 58
Many years ago, a cruise liner sank in the middle of the ocean.
The castaways luckily landed on a remote desert island.
There was enough food for the 220 people to last three weeks.
Six days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 55 people stranded on the island to now share the original rationed food.
The food obviously had to be re-rationed, but everyone was now on one-half of the original ration, so how many days in total would the food last for, from the day of the original sinking?