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MathNet 2012 Question 50

Math Olympiad Vault · MathNet 2012

Question 50

Peter breeds horses and cows on his farm. One day, the number of horses was the same as the number of cows and greater than $0$. Then Peter bought some more cows so that the number of cows increased by $50\%$. Now only $30\%$ of the animals are horses. How many horses does Peter have on his farm?
(A) $8$ (B) $9$ (C) $10$
(D) Some other number. (E) The problem has no solution.