Mixed 15 liters of 40% salt solution with 25 liters of 30% salt solution. What is the concentration of the resulting solution?
May 30, 2021 | education
| Find the volume of salt in each of the two solutions.
We multiply the indicated volume of the entire solution by the corresponding percentage of salt in it.
15 * 40% = 15 * 0.4 = 6 liters of salt (in 1 solution).
25 * 30% = 25 * 0.3 = 7.5 liters of salt (in solution 2).
Determine the total volume of the solution when mixed.
15 + 25 = 40 liters.
Find the total volume of salt in the resulting solution.
6 + 7.5 = 13.5 liters.
Find the concentration of salt in the resulting solution.
Divide the volume of salt by the total volume of the solution and multiply by 100%.
13.5 / 40 * 100% = 1350/40 = 33.75%.
Answer: 33.75%.
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