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3 solutions with different % (IV Soros Olympiad 1997-98 R3 9.7)

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June 1, 2024
algebraPercentage

Problem Statement

There are three solutions with different percentages of alcohol. If you mix them in a ratio of 1:2:31:2:3, you get a 20%20\% solution. If you mix them in a ratio of 5:4:3,5: 4: 3, you will get a solution with 50%50\% alcohol content. What percentage of alcohol will the solution contain if equal amounts of the original solutions are mixed?
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