Question
A chemist combines three solutions with active
ingredient concentrations of 10%, 20%, and 30% in the ratio 2:3:5. If the total volume of the mixture is 600 liters, calculate the concentration of active ingredients in the resulting solution.Solution
Let the volume of these three solutions be 2x, 3x and 5x. 2x+3x+5x = 600 10x = 600 x = 60 so, the volume of these three solutions are 120, 180 and 300 liters active ingredient in resulting solution = 10% of 120 + 20% of 180 + 30% of 300 = 12+36+90 = 138 Concentration in resulting solution = 138/600 ×100 = 23%
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