To 80 g of a 20% manganese solution was added 120 g of a 30% manganese solution.

To 80 g of a 20% manganese solution was added 120 g of a 30% manganese solution. what is the percentage of manganese in the resulting solution?

Let’s calculate the mass of manganese in the first solution. Let’s make the proportion:

80 grams – 100%,

x gram – 20%.

x = 80 * 20: 100 = 16 grams.

The first solution contains 16 grams of manganese.

Let’s calculate how many grams of manganese are in the second solution:

120 grams – 100%,

x gram – 30%.

x = 120 * 30: 100 = 36 grams.

36 + 16 = 52 grams.

120 + 80 = 200 grams.

The whole solution weighs 200 grams.

200 grams – 100%,

52 grams – x%.

x = 52 * 100: 200 = 26%.

The resulting solution contains 26% manganese.

Answer: the resulting solution contains 26% manganese.