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MathNet 2012 Question 30

Math Olympiad Vault · MathNet 2012

Question 30

A shop received $475\,\mathrm{kg}$ of fruit: apples, mandarins and bananas. How many kilograms of each type are there if half the apples weigh twice as much as $30\%$ of the mandarins, and the bananas weigh $35\,\mathrm{kg}$ less than the apples?