A 9 L solution that was 11% vinegar was mixed with a 10 L solution that was 69%vinegar.find the new concentration of vinegar

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21-02-2016
Mathematics

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A 9 L solution that was 11% vinegar was mixed with a 10 L solution that was 69%vinegar.find the new concentration of vinegar

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olemakpadu olemakpadu · Answer 1 · 2016-02-21T09:52:21-05:00

1st solution: 9L 11% Vinegar,    9, 11
2nd solution: 10L    69% Vinegar 10, 69
Total volume when mixed = 9 + 10 = 19

Using, law of mixtures:

Volume1 Concentration 1 + Volume2 Concentration2 = Total Volume Final Concentration
Volume is in L, and Concentration is in %

911 + 1069 = 19 FC, Where FC = Final Concentration
99 + 690 = 19FC
789 = 19FC   Divide both sides by 19

789/19 = FC
41.52 = FC

Therefore final concentration after mixing = 41.52%