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We need to mix 15 ml of 28 % of solution to get the resulting mixture as a 13 % sugar mixture.
Let the amount of 28 % sugar solution be x ml.
We are given that:
10 % sugar solution = 75 ml
Total solution = 75 ml + x ml
We need the solution to be 13 % sugar solution.
So, we get that:
28 % x + 10 % ( 75 ) = 13 % ( 75 + x )
28 x + 750 = 13 ( 75 + x )
28 x + 750 = 975 + 13 x
28 x - 13 x = 975 - 750
15 x = 225
x = 225 / 15
x = 15
Therefore, we need to mix 15 ml of 28 % of solution to get the resulting mixture as a 13 % sugar mixture.
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