Question

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Answer 1

Answer:

If the ratio of milk to water is 4:1 in a 45-liter mixture, how much water should be added to create a ratio of 3:2?

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If the ratio of milk to water in 4:1 in 45 liters, how much water need to be added to make the mixture 3:2?

4+1 = 5. In the 45 liter mixture 45/5 = 9 liters water and 45*4/5 = 36 liters milk.

Let x liters of water be added to the present mixture, then the volume of milk-water mixture is (45+x) and the quantity of water in the mixture is (9+x).

The ratio is to be 36:(9+x)::3:2, or

36*2 = 72 = 3(9+x) or 27+3x, or

3x = 72–27 = 45, or x = 15.

Check: Total volume of milk-water combined is 45+15 = 60 while the actual milk is still 36 liters. Therefore milk to water ratio = 36/(60–36) = 36/24 or 3:2. Correct.

Answer: 15 liters water needs to be added

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