Cheese and Butter at the Fall Tournament of the Towns
Here’s a fresh challenge from the recent Tournament of the Towns, crafted by Alexander Shapovalov.
Share:Puzzle. A mother and her son are playing a game involving cheese and butter. The son starts by cutting a 300-gram block of cheese into 4 pieces. Then, the mother divides 280 grams of butter between two plates. Afterward, the son places the cheese pieces onto these same plates. The son wins if, on both plates, there is at least as much cheese as butter. If not, the mother wins. Can either the mother or the son guarantee a win, regardless of the other’s moves?
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