Question
A mixture contains milk and water in the ratio of 3:2
respectively. If 34 litres of milk and 34 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, ⇒ (3x + 34): (2x + 34) = 10:7 ⇒ 21x + 340 = 20x + 238 ⇒ 21x – 20x = 340 – 238 ⇒ x = 102 So, initial quantity of mixture = 102 × (2 + 3) = 510 litres
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