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BEBRAS 2017 Grade 9-10 Round 2 Ext Question 2

BEBRAS · BEBRAS 2017 Grade 9-10 Round 2 Ext

Question 2

Pantellis walks past N piles of logs. The number of logs increases along his walk, and each consecutive increase is either x or y. For example, if a pile contains 5 logs and x=3, y=4, the next pile contains 8 or 9. He wants to determine the possible size of the last pile. There are N=9 piles, x=4 and y=5; the first pile contains no logs. What range contains the possible number in the last pile?

Question illustration
  1. 32–40 logs
  2. 36–45 logs
  3. 27–36 logs
  4. 45–54 logs