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IMAS 2021 — Middle Primary Grades 3–4 — Round 2 Question 2

IMAS · IMAS 2021 — Middle Primary Grades 3–4 — Round 2

Question 2

Three farmers Alvin, Benny and Charlie harvested 116, 112 and 96 chestnuts respectively. On the way home, one gave $\frac14$ of his chestnuts to one of the other two. Then another farmer gave $\frac14$ of his chestnuts to one of the other two. Finally the third farmer gave $\frac14$ of his chestnuts to another farmer. Afterwards all three had the same number. Which farmer first gave $\frac14$ of his chestnuts to which farmer?

  1. Alvin to Benny
  2. Alvin to Charlie
  3. Benny to Alvin
  4. Benny to Charlie
  5. Charlie to Alvin