In a mixture of 30 liters, the ratio of acid and water is 7 : 3. How much more water is to be added to get a new mixture containing acid and water in the ratio of 3 : 7?

In a mixture of 30 liters, the ratio of acid and water is 7 : 3. How much more water is to be added to get a new mixture containing acid and water in the ratio of 3 : 7? Correct Answer 40 liters

Let the amount of water needed be W. Initialy, the mixture contains (7 / (7 + 3) x 30 = 21 liter of acid and 30 - 21 = 9 liter of water. Now,  21 : (9 + W) = 3 : 7 or,  21 / (9 + W) = 3 / 7 or,  3(9 + W) = 21 x 7 or,  27 + 3W = 147 or, 3W = 147 - 27 or, W = 120/3 =  40 liter
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