Question
A mixture contains milk and water in the ratio of 3:2
respectively. If 60 litres of milk and 60 litres of water are added to this mixture, then respective ratio of milk and water changes to 10:7, respectively. Find the initial quantity of the mixture.Solution
Let, amount of milk and water in mixture be 3x litres and 2x litres respectively. According to question, β (3x + 60): (2x + 60) = 10:7 β 21x + 420 = 20x + 600 β 21x β 20x = 600 β 420 β x = 180 So, initial quantity of mixture = 180 Γ (2 + 3) = 900 litres
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