Question
180 ml of mixture contains milk and water in the ratio
of 15:x respectively. If 55 ml of water and 65 ml of milk is added into it then ratio of milk to water in the resulting mixture will be 2:1. Find the value of ‘x’.Solution
Quantity of milk in 180 ml of mixture = 180 × 15/(15 + x) Quantity of water in 180 ml of mixture = 180 × x/(x + 15) According to question; {2700/(15 + x) + 65}/{180x/(x + 15) + 55} = 2/1 Or, 2700/(15 + x) + 65 = 360x/(x + 15) + 110 Or, (2700 – 360x)/(x + 15) = 45 Or, 2700 – 360x = 45x + 675 Or, 405x = 2025 Or, x = 5
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