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Top 11 Pirates Book Report

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A band of 10 pirates are going to disband. They have divided up all of their gold, but there remains one GIANT diamond that cannot be divided. To decide who gets it, the captain puts all of the pirates (including himself) in a circle. Then he points at one person to begin. This person steps out of the circle, takes his gold and leaves. The person on his left stays in the circle, but the next person steps out. This continues with every second pirate leaving until there is only one left. Who should the captain point at if he wants to make sure he gets to keep the diamond for himself? What if there were 11 pirates? What if there were 12 pirates? What if there were 27 pirates? Etc.

Answer:
If there are 10 pirates the captain should …show more content…
For 10 pirates the captain would need to point at the 3rd person to his right who is also the 7th person to his left, and for 11 eleven pirates the captain needed to point at the 5th person to his right who is also the 6th person to his left. The numbers were going up by 2 every time for the right, and for the left side they were going down by 1. To get the third answer for his right side I just went up by 2 from 5 and made sure that I was going down 1 from 6 for the left side. After I drew it out to check to make sure I was right. After I made a chart comparing the ratios. Until I got to 17 pirates, I realised that I would need to restart the sequence, because the next number I needed for the right side was 17, but that would mean I would kick out the captain first, then I realised that I could skip the captain, and then I would have to restart the sequence and I would be back on track. After that the sequence worked perfectly, and the pattern was back on track. When I got to 27 pirates in a circle, I drew another circle to make sure I was right, and I was. The pattern I had sought out had worked

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