Mixed two solutions. The mass of the first solution is 800 g, the concentration of salt in it is 40%.

Mixed two solutions. The mass of the first solution is 800 g, the concentration of salt in it is 40%. The mass of the second solution is 1.2 kg, the concentration of salt in it is 15%. Find the concentration of the mixture.

1) Find the weight of the salt in the first solution.

We multiply the indicated mass of the entire solution by the salt content in it.

800 * 40% = 800 * 0.4 = 320 grams.

2) In the same way, we find the mass of salt in the second solution.

1.2 * 15% = 1.2 * 0.15 = 0.18 kg.

3) We convert the mass of salt in the second solution into grams.

0.18 kg = 0.18 * 1000 = 180 grams.

1.2 kg = 1.2 * 1000 = 1200 grams.

4) Find the total weight of the resulting mixture and the total weight of the salt in it.

800 + 1200 = 2000 g (mass of the mixture).

200 + 180 = 380 g (mass of salt).

5) Determine the concentration.

380/2000 * 10% = 38000/2000 = 19%.

Answer: 19%.