Question
Mixture βPβ contains alcohol and water only in the
ratio 15:13 respectively while mixture βQβ contains water and alcohol in the ratio of 3:5, respectively. Total quantity of mixture βPβ is 420 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 = 15x litres Then, quantity of water in mixture βPβ = 13x litres According to the question, 15x + 13x = 420 Or, x = 420/28 = 15 Total quantity of alcohol in mixture βQβ = 15x + 25 = 225 + 25 = 250 litres Quantity of water in mixture βQβ = 250 Γ (3/5) = 150 litres
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