24 mililiters of water must be added to reduce the concentration of the solution from 17 % to 5 %.
How much more water must be added to reduce a concentration?
In this problem we have a concentration problem, represented by the volume of the solvent divided by the volume of the entire solution. The initial and final concentrations of the solutions are presented in the following formulas:
Initial concentration
17 / 100 = x / 10
x = 17 / 10
Final concentration
5 / 100 = x / (10 + y)
10 + y = x / (5 / 100)
y = x / (5 / 100) - 10
y = 24
24 mililiters of water must be added to reduce the concentration of the solution from 17 % to 5 %.
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