Mathematics, 12.03.2020 17:59 mir1425
After Smaug the dragon was slain, Bilbo and Thorin’s band of 13 Dwarves (for 14 members total) arranged to split the treasure they found 14 equal ways. However, when they tried to divide the golden coins 14 equal ways, they had 9 extra coins. Although dwarves are known to be greedy, they did not fight over who should get the extra coins, since the Battle of Five Armies killed the dwarf leader Thorin. They then tried to divide the coins 13 equal ways, finding that there were 5 extra coins. Reminded that two other dwarves were killed during this battle, they were able to divide the coins in 11 equal ways to everyone’s relief. Assuming that there were at least 5000 golden coins in Smaug’s cache, what’s the least number of golden coins that Bilbo and company had taken?
Answers: 1
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After Smaug the dragon was slain, Bilbo and Thorin’s band of 13 Dwarves (for 14 members total) arran...
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