Another 10 kg of 68% acid solution was added to 5 kg of a 15% solution. Find the percentage of acid in the final solution.
February 24, 2021 | education
| Let’s determine the amount of acid in the first solution. To do this, let’s make a proportion.
5 kilograms – 100%,
x kilogram – 15%.
x = 5 * 15: 100 = 0.75 kilograms.
Determine the amount of acid in the second solution:
10 kilograms – 100%,
x kilogram – 68%.
x = 10 * 68: 100 = 6.8 kilograms.
6.8 + 0.75 = 7.55 kilograms.
The new solution weighed:
10 + 5 = 15 kilograms.
15 kilograms – 100%,
7.55 – x%.
x = 7.55 * 100: 15 = 50.3.
In the new solution, the acid concentration is 50.3%.
Answer: in the new solution, the acid concentration is 50.3%.
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