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KöMaL 2018 K584

    Santa Claus is very strong, but he can only carry a maximum of 100 kg of presents in his sack. In a large apartment building, he was to deliver three different kinds of presents: A, B and C. The mass of each type of present is a whole number of kilograms. He can carry eight A and eight B at the same time, but in that case he cannot take any further piece (neither A, nor B or C) in that round. Similarly, he cannot take anything further if he carries ten A, four B and four C. How much may each of the presents A, B and C weigh in kilograms?

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