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Problem 3, 2023

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A goldsmith owns two alloys. The first is \(90\%\) gold, the second \(54\%\) gold. He melts together \(320\) g of the first alloy and \(160\) g of the second to obtain a new alloy. What percentage of gold does the new alloy contain?

  1. A \(33\)
  2. B \(48\)
  3. C \(65\)
  4. D \(72\)
  5. E \(78\)

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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2023, 1. letnik, category A, problem A3. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source