Following their latest trip, the 13 pirates of the ship, PINK PEARL, gather at their
favorite tavern to discuss how to divvy up their plunder of gold coins. After much
debate, captain Jill Sparrow says, "Argggg, it must be evenly distributed amongst
all of us. Argggg". Hence, the captain begins to pass out the coins one by one as
each pirate anxiously awaits her reward. However, when the captain gets close to
the end of the pile, she realises there are 3 extra coins. After a brief silence, one
of the pirates says, "I deserve an extra coin because I loaded the ship while the
rest of you slept". Another pirate states, "Well, I should have an extra coin
because I rationed all the liquor". Eventually, a brawl ensues over who should get
the remaining three coins. The tavern keeper, annoyed by the chaos, kicks out a
pirate who had broken a table and is also forced to return her coins. Then, the
tavern owner yells, "Keep the peace or all of you must go!" The pirates return to
their seats and the captain, left with only 12 total pirates, continues to distribute
the coins -"one for you," "one for you.” Now, as the pile is almost depleted, she
realises that there are five extra coins. Immediately, the pirates again argue over
the five extra coins. The captain, fearing that they will be kicked out, grabs the
angriest pirate and ushers her out of the tavern with no compensation. With only
11 pirates left, she resumes distribution. As the pile nears depletion, she sees that
there won't be any extra coins. The captain breathes a sigh of relief. No
arguments occur and everyone returns in peace. If there were less than 1,000
coins, how many did the pirates have to divvy up?
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Answer:
341
11 x 31 = 341
(12 x 28) + 5 = 341
(13 x 26) + 3 = 341
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