Question
A mixture contains milk and water in the ratio of 3:2
respectively. If 44 litres of milk and 44 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. MTSolution
Let, amount of milk and water in mixture be 3x litres and 2x litres respectively. According to question, rArr; (3x + 44): (2x + 44) = 10:7 rArr; 21x + 440 = 20x + 308 rArr; 21x ndash; 20x = 440 ndash; 308 rArr; x = 132 So, initial quantity of mixture = 132 times; (2 + 3) = 660 litres
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