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IMAS 2023–2024 Junior Division — First Round Question 9

IMAS · IMAS 2023–2024 Junior Division — First Round

Question 9

Several boxes were delivered to a pastry shop. Each box either contain 8 cakes and 6 pastries or 4 cakes and $n$ pastries. The owner of the shop ate 1 cake and 1 pastry and exactly re-distributed the remaining items in boxes of 3 cakes and 2 pastries each. What is the value of $n$?
  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. $5$