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MathNet 2026 — Part 03 Question 14

Math Olympiad Vault · MathNet 2026 — Part 03

Question 14

The collar - a necklace is composed of large pearls and small pearls, totaling less than 500 pearls. i. If we replace $70\%$ of large pearls with small pearls, the weight of the necklace decreases from $60\%$. II. If we replace $60\%$ of small pearls with large pearls, the weight of the necklace increases from $70\%$. How many pearls does the necklace have?