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13 November, 16:16

How many pints of a 30% sugar solution must be added to a 5 pint of a 5% sugar solution to obtain a 20% sugar solution?

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  1. 13 November, 16:33
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    You must add 7.5 pt of the 30 % sugar to the 5 % sugar to get a 20 % solution.

    You can use a modified dilution formula to calculate the volume of 30 % sugar.

    V_1*C_1 + V_2*C_2 = V_3*C_3

    Let the volume of 30 % sugar = x pt. Then the volume of the final 20 % sugar = (5 + x) pt

    (x pt*30 % sugar) + (5 pt*5 % sugar) = (x + 5) pt * 20 % sugar

    30x + 25 = 20x + 100

    10x = 75

    x = 75/10 = 7.5
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