A 10% solution of acetic acid weighing 200 g was mixed with 300 g of a 20% solution of the same acid

A 10% solution of acetic acid weighing 200 g was mixed with 300 g of a 20% solution of the same acid. Determine the mass concentration of the substance in the resulting solution.

1) Find the mass of acetic acid in the original solution. To do this, multiply the mass of the solution by the concentration of the acid, converted from percent to decimal:

10% = 0.1;

0.1 * 200 = 20 grams;

2) Find the mass of acid in the solution, which was added to the first:

20% = 0.2;

0.2 * 300 = 60 grams;

3) Find the mass of acid obtained by combining two solutions:

20 + 60 = 80 grams;

4) Find the mass of the solution:

200 + 300 = 500 grams

6) Find the amount of acetic acid in the resulting solution. To do this, divide the mass of the substance by the mass of the solution:

80/500 = 0.16

7) translate the resulting number into percent:

0.16 = 16%

Answer: 16