To 500 grams of a 22% solution of the substance, 300 grams of a 30% solution was added.

| April 18, 2021 | education

To 500 grams of a 22% solution of the substance, 300 grams of a 30% solution was added. What is the concentration of the resulting mixture?

To begin with, we find out what the mass of a substance is equal to, which is dissolved in 500 grams of solution, if, according to the condition of the problem, it is known that the content of the substance is 22%:
22% – x grams,
100% – 500 grams.
x = 22 * ​​500/100
x = 110
Now let’s determine how much substance is contained in a 30% solution of 300 grams:
300 grams – 100%,
x gram – 30%.
x = 300 * 30/100
x = 90
Now we find the total mass of the substance:
110 + 90 = 200
Determine the total mass of the solution:
500 + 300 = 800
Let’s find what the concentration of the substance will be after adding 300 grams of a 30% solution of the substance:
800 grams – 100%,
200 grams – x%.
x = 200 * 100/800
x = 25%.
Answer: the new solution will contain 25% of the substance.



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