Question
A mixture contains milk and water in the ratio of 7:12.
When 12 litres of milk and 6 litres of water are added to the mixture, the new ratio of milk to water becomes 20:27. Find the final quantity of the mixture after the additions.Solution
Let the initial quantity of milk and water be '7a' and '12a' litres respectively. So, (7a + 12) :(12a + 6) = 20:27 Or, 27 X (7a + 12) = 20 X (12a + 6) Or, 189a + 324 = 240a + 120 Or, 51a = 204 Or, 'a' = 4 Final quantity of mixture = 7a + 12a + 12 + 6 = 19a + 18 = 19 X 4 + 18 = 94 litres
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