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MathNet 2022-part-02 — 197 problems (EN–VI) Question 35

Math Olympiad Vault · MathNet 2022-part-02 — 197 problems (EN–VI)

Question 35

Priit's collection consists of $1111$ stamps which are all distributed into envelopes in such a way that every envelope contains more than one stamp, all envelopes contain the same number of stamps, and each envelope contains only stamps from one country. It is known that more than $40\%$ of stamps in this collection are from Estonia, more than $30\%$ of stamps in the collection are from Latvia and more than $20\%$ of stamps in the collection are from Lithuania. Find the largest possible number of envelopes containing Estonian stamps and the largest possible number of envelopes containing Lithuanian stamps.