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m ounces of salt that is m% salt

Source: 1959 AHSME Problem 24

August 14, 2013
AMC

Problem Statement

A chemist has mm ounces of salt that is m%m\% salt. How many ounces of salt must he add to make a solution that is 2m%2m\% salt?
<spanclass=′latex−bold′>(A)</span> m100+m<spanclass=′latex−bold′>(B)</span> 2m100−2m<spanclass=′latex−bold′>(C)</span> m2100−2m<spanclass=′latex−bold′>(D)</span> m2100+2m<spanclass=′latex−bold′>(E)</span> 2m100+2m <span class='latex-bold'>(A)</span>\ \frac{m}{100+m} \qquad<span class='latex-bold'>(B)</span>\ \frac{2m}{100-2m}\qquad<span class='latex-bold'>(C)</span>\ \frac{m^2}{100-2m}\qquad<span class='latex-bold'>(D)</span>\ \frac{m^2}{100+2m}\qquad<span class='latex-bold'>(E)</span>\ \frac{2m}{100+2m}
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