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MathNet 1999 — Part 01 Question 94

Math Olympiad Vault · MathNet 1999 — Part 01

Question 94

Andrea returns from fishing with a bag full of fish. Once home, he gives the largest of his two cats the three largest fish: by doing so the weight of the bag is reduced by $38\%$. At this point he gives the other cat the three smaller fish: by doing so the weight of the bag is reduced again by $38\%$ (compared, however, to the weight following the feeding of the first cat). How many fish did Andrea catch? (Neglect the weight of the bag compared to that of the fish.)