# A certain amount of a 30% salt solution was mixed with two large amounts

September 29, 2021 | education

| **A certain amount of a 30% salt solution was mixed with two large amounts of a 15% solution of this salt. What is the concentration of the solution.**

Let’s say that the amount of the 30% solution was x.

According to the condition of the problem, the amount of 15% solution was twice as much, which means it is equal to 2 * x.

Therefore, when the solutions were mixed, their amount was:

x + 2 * x = 3 * x,

and the amount of salt in it:

x * 30: 100 + 2 * x * 15: 100 = 0.3 * x + 0.3 * x = 0.6 * x.

Thus, the concentration of salt in the resulting solution is equal to:

0.6 * x: 3 * x = 0.6: 3 = 0.2 or 20%.

Answer: 20%.

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