https://artofproblemsolving.com/wiki/api.php?action=feedcontributions&user=Polkadotz&feedformat=atomAoPS Wiki - User contributions [en]2024-03-28T09:42:09ZUser contributionsMediaWiki 1.31.1https://artofproblemsolving.com/wiki/index.php?title=2011_AIME_I_Problems/Problem_1&diff=376422011 AIME I Problems/Problem 12011-03-19T01:23:42Z<p>Polkadotz: /* Solution */</p>
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<div>== Problem 1 ==<br />
Jar A contains four liters of a solution that is 45% acid. Jar B contains five liters of a solution that is 48% acid. Jar C contains one liter of a solution that is <math>k\%</math> acid. From jar C, <math>\frac{m}{n}</math> liters of the solution is added to jar A, and the remainder of the solution in jar C is added to jar B. At the end both jar A and jar B contain solutions that are 50% acid. Given that <math>m</math> and <math>n</math> are relatively prime positive integers, find <math>k + m + n</math>.<br />
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== Solution ==<br />
45/5</div>Polkadotz