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IMAS 2025–2026 Upper Primary — Round 2 Question 8

IMAS · IMAS 2025–2026 Upper Primary — Round 2

Question 8

One day, Father Bear, Mother Bear and Baby Bear ate honey. Initially their bowls held $120$, $80$ and $40$ spoonfuls, respectively.
- If only Father Bear had eaten from Mother Bear’s bowl, eating one third of his actual total consumption, then Baby Bear would have eaten half of what Mother Bear had left.
- If only Father Bear had eaten from his own bowl, eating his actual total consumption, then Mother Bear would have eaten half of what Father Bear had left.
- If only Mother Bear had eaten from Baby Bear’s bowl, eating one third of her actual total consumption, then Father Bear would have eaten what Baby Bear had left.
How many spoonfuls did all three bears eat in total?