Question
Mixture βPβ contains alcohol and water only in the
ratio 10:7 respectively while mixture βQβ contains water and alcohol in the ratio of 3:5, respectively. Total quantity of mixture βPβ is 255 litres while the quantity of alcohol in mixture βQβ is 25 litres more than that in mixture βPβ. Find quantity of water in mixture βQβ.Solution
Let the quantity of alcohol in mixture βPβ = 10x kg Then, quantity of water in mixture βPβ = 7x kg According to the question, 10x + 7x = 255 Or, x = 255/17 = 15 Total quantity of alcohol in mixture βQβ = 10x + 25 = 150 + 25 = 175 litres Quantity of water in mixture βQβ = 175 Γ (3/5) = 105 litres
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