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2015 Math Kangaroo

Problem 15

Problem 15 · 2015 Math Kangaroo Medium
Logic & Word Problems careful-counting

Some pirates are climbing onto a ship one after the other using a rope. Their leader is exactly in the middle. He is the eighth pirate to climb onto the ship. How many pirates board the ship?

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Answer: B — 15
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Hint 1 of 2
The leader is the 8th to climb and is exactly in the middle of the line.
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Hint 2 of 2
If 7 pirates are ahead of him, the same number must be behind him.
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Approach: balance the pirates on each side of the middle one
  1. The leader is the 8th to climb, so 7 pirates went before him.
  2. Being exactly in the middle, 7 pirates must also come after him.
  3. Total = 7 + 1 + 7 = 15 pirates, choice B.
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