Question
A 180 ml mixture contains milk and water in a ratio of
5:x respectively. If 20% of the mixture is taken out 60 ml of milk and 76 ml of water is added in the remaining mixture then the amount of milk in the final mixture becomes 50%. Find the amount of water taken out.Solution
Quantity of milk in 180 ml mixture = 180 × 5/ (x+ 5) = 900/ (x + 5) ml Quantity of water in 180 ml mixture = 180x/ (x+ 5) ml According to the question. 0.8 × 900/ (x + 5) + 60 = 0.8 × 180x/ (x + 5) + 76 720/ (x + 5) – 144x/ (x + 5) = 16 45/ (x + 5) – 9x/ (x + 5) = 1 45 – 9x = x + 5 10x = 40 x= 4 Quantity of water taken out (.2×180) ×4/9 =16ml
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