A mixture contains sugar solution and colored water in the ratio 7 : 9. If 13 liters of colored water is added to the mixture, the ratio becomes 4 : 7. Find the initial quantity of sugar solution in the given mixture (in liters).
The initial ratio is 7 : 9.
Let ‘k’ be the common ratio.
=> Initial quantity of sugar solution = 7 k
=> Initial quantity of colored water = 9 k
=> Final quantity of sugar solution = 7 k
=> Final quantity of colored water = 9 k + 13
Final ratio = 7 k : 9 k + 13 = 4 : 7
=> k = 4
Therefore, initial quantity of sugar solution in the given mixture (in liters) = 7 k = 28 liter
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