Question
A 180 litres mixture of glycerin and water contains 20%
glycerin. How much water should be added to the mixture to make the quantity of water 90% of the total mixture?Solution
ATQ, Initial quantity of glycerin in the mixture = 0.2 × 180 = 36 litres Initial quantity of water = 180 – 36 = 144 litres Let the quantity of water added be ‘x’ litres According to the question, (144 + x) = 0.9(144 + x + 36) Or, 144 + x = 162 + 0.9x Or, x = 18/0.1 = 180 Therefore, the quantity of water to be added = 180 litres
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