Algebra · Percentage change · Ratio · Word problem

Problem 1, 2012

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RegionalEnter the answer

Peter keeps horses and cows on his farm. To begin with he had exactly as many horses as cows, and that common number was greater than \(0\). He then bought some more cows, so that the number of cows rose by \(50\%\). Now the horses make up only \(30\%\) of all his animals. How many horses does Peter have on the farm?

  1. A \(8\)
  2. B \(9\)
  3. C \(10\)
  4. D Some other number
  5. E The problem has no solution

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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), regijsko (regional) round 2012, 1. letnik, category A, problem A1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source