Question
Mixture lsquo;Arsquo; contains 80% acetone and rest 30
litres water. Mixture lsquo;Brsquo; contains 72 litres acetone and rest 40% water. When two mixtures are mixed, then find the ratio of acetone to water in the resultant mixture.Solution
Quantity of water in mixture lsquo;Arsquo; = 30 litres Total quantity of mixture lsquo;Arsquo; = 30/0.20 = 150 litres Therefore, quantity of acetone in mixture lsquo;Arsquo; = 150 ndash; 30 = 120 litres Quantity of acetone in mixture lsquo;Brsquo; = 72 litres Total quantity of mixture lsquo;Brsquo; = 72/0.40 = 120 litres Quantity of water in mixture lsquo;Brsquo; = 120 ndash; 72 = 48 litres Therefore, quantity of acetone in resultant mixture = 120 + 48 = 192 litres Quantity of water in resultant mixture = 48 + 30 = 78 litres Required ratio = 192 : 78 = 32 : 13
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