Question
Mixture 'P,' comprising both milk and water, is
combined with another mixture 'Q' (consisting of milk and water) in a ratio of 3:2, respectively. The ratio of milk to water in mixture 'Q' is 5:1. If the resulting mixture has a milk to water ratio of 17:7, determine the ratio of milk to water in mixture 'P.'Solution
ATQ, Let, the fraction of quantity of milk in mixture 'P' be (a/b) . Fraction of milk in mixture 'Q' = [5/(5 + 1) ] = (5/6) = (20/24) Fraction of milk in the resultant mixture = [17/(17 + 7) ] = (17/24) 
(1/8) :[(17/24) - (a/b) ] = 3:2 Or, 2 × (1/8) = 3 × [(17/24) - (a/b) ] Or, (1/4) = (17/8) - 3 × (a/b) Or, 3 × (a/b) = (17/8) - (1/4) Or, 3 × (a/b) = (15/8) Or, (a/b) = (15/8) × (1/3) So, (a/b) = (5/8) So, the ratio of milk and water in mixture 'brown rice' = 5:(8 - 5) = 5:3
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