To 500 g of a 22% solution of the substance, 300 g of a 30% solution of this substance was added, what is the concentration of the resulting mixture.
First, we determine the weight of the substance in each solution.
To do this, we multiply the known masses by the percentage of the substance.
500 * 22% = 500 * 0.22 = 110 grams of substance (in the first solution).
300 * 30% = 300 * 0.3 = 90 grams of the substance (in the second solution).
We find the total mass of the two solutions.
500 + 300 = 800 grams.
We find the total weight of the substance in two solutions.
110 + 90 = 200 grams.
We find the percentage of the substance.
To do this, divide the mass of the substance by the mass of the solution and multiply by 100%.
200/800 * 100% = 25%.
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