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IMAS 2023–2024 — Middle Primary — Round 2 Question 7

IMAS · IMAS 2023–2024 — Middle Primary — Round 2

Question 7

To produce 32 identical brick-shaped jellies, one needs 6400 cm² of paperboard for the boxes and 8000 cm³ of jelly to fill up all these 32 boxes. Now we want to produce jumbo packages, by doubling the length of each side of the brick-shaped boxes. If we have 12800 cm² of paperboard and 16000 cm³ of jelly, what is the largest number of jumbo brick-shaped boxes of jelly we can make?