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MathNet 2009-part-04 — 175 problems (EN–VI) Question 116

Math Olympiad Vault · MathNet 2009-part-04 — 175 problems (EN–VI)

Question 116

At the New year's party each boy gave each girl one candy and each girl gave each boy one cake. After that each boy ate two of given cakes and each girl ate three of given candies. It turned out that kids had eaten quarter of all given things. What is the maximal number of kids that could participate in this party?