Shipwreck

The victims of a shipwreck were lost at sea. Due to strong waves they were all soon separated. Search parties quickly went out to find them. On the first day, 1/6 of the survivors were found. The next day, 1/5 of those still lost were found. On the third day, 1/4 of those still lost were found. On the fourth day, 1/3 of those still lost were found. 1/2 of those still lost were found on the fifth day, and on the sixth and the last day, the 3 remaining boatmen and boatwomen were found.
How many people were originally lost at sea?

Answer
There were 18 people originally lost at sea.
The amount of people remaining lost after each day is as follows:
DAY 1 = 15
DAY 2 = 12
DAY 3 = 9
DAY 4 = 6
DAY 5 = 3
DAY 6 = 0

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