Question
A solution contains 40% sugar and the rest water. After
adding 25 liters of water, we get another solution where the percentage of sugar drops to 20%. This solution is then combined with 15 liters of 100% sugar solution. What will be the ratio of sugar to water in the final mixture?Solution
Let the initial quantity of the solution = 100y Sugar = 40y Water = 60y {40y}/{60y + 25} = 1/4 160y = 60y + 25 100y = 25 y = 0.25 Sugar = 40y = 10 Water = 60y + 25 = 40 Required ratio = (10 + 15)/{40} = 5: 8
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