Question
700 ml of a mixture contains milk and water in the ratio
of 18 respectively. If 100 ml of water and 110 ml of milk are added into it, then the ratio of milk to water in the resulting mixture will be 6:3. Find the value of ‘v’.Solution
ATQ Quantity of milk in 700 ml of mixture = 700 × 18/(18 + v) Quantity of water in 700 ml of mixture = 700 × v/(v + 18) According to the question: {12600/(18 + v) + 110}/{700v/(v + 18) + 100} = 6/3 Or, 12600/(18 + v) + 110 = 1400v/(v + 18) + 300 Or, (12600 – 1400v)/(v + 18) = 190 Or, 12600 – 1400v = 190v + 3420 Or, 1590v = 9180 Or, v = 6
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