# We merged 2 salt solutions: 100 g of a 15% salt solution and 250 g of a 10% solution of the same salt.

January 17, 2021 | education

| **We merged 2 salt solutions: 100 g of a 15% salt solution and 250 g of a 10% solution of the same salt. What is the mass fraction of the new solution?**

Given:

m1 solution = 100 g

m2 solution = 250 g

w1 = 15% = 0.15

w2 = 10% = 0.1

Find: w3

Decision:

m3 solution = 100 g + 250 g = 350 g

Let x – w3, then

(m1 solution * 0.15) + (m2 solution * 0.1) = m3 solution * x

(100 * 0.15) + (250 * 0.1) = 350x

15 + 25 = 350x

40 = 350x

x = 0.1143 / * 100%

w3 = 11.43%

Answer: 11.43%

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