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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