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MathNet 2026 — Part 01 Question 197

Math Olympiad Vault · MathNet 2026 — Part 01

Question 197

Ricotta Canelonis - Every Sunday, Pedro prepares cannelonis for lunch. first he cuts rectangles of dough from $16~\mathrm{cm}$ by $12~\mathrm{cm}$ and then glue the two longer sides, superimposing a strip of $2~\mathrm{cm}$.

Question illustration

That way he gets cylinders that he stuffs with ricotta, he already knows that he always spends $500~\mathrm{g}$ of ricotta. On a beautiful Sunday, with the same number of mass rectangles of $16~\mathrm{cm}$ by $12~\mathrm{cm}$, he decides to produce the cylinders by gluing the smaller sides, always superposing a range of $2~\mathrm{cm}$. In this situation, will he spend more or less ricotta than before? how much?