First, we find the mass of the substance in the resulting solution.
We multiply the weight of the solution by the percentage.
300 * 22% / 100% = 300 * 0.22 = 66 grams.
Let’s say that the weight of the first solution is x grams, and the second is in grams.
Thus, we get the following system of equations:
x + y = 30.
0.15 * x + 0.25 * y = 66.
Express the x value from the first equation.
x = 300 – y.
Substitute this value into the second equation.
0.15 * (300 – y) + 0.25 * y = 66.
45 – 0.15 * y + 0.25 * y = 66.
0.1 * y = 21.
y = 21 / 0.1 = 210 grams (second solution).
x = 300 – 210 = 90 g (first solution).
Answer: 90 and 210 grams.
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