SOLUTION: An 8L solution that was 22% vinegar was mixed with a 9L solution that was 76% vinegar. Find the concentration of the vinegar.

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Question 1118214: An 8L solution that was 22% vinegar was mixed with a 9L solution that was 76% vinegar. Find the concentration of the vinegar.
Answer by ikleyn(52776) About Me  (Show Source):
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8 liters of the 22% solution contain 0.22*8 liters of the vinegar.


9 liters of the 76% solution contain 0.76*9 liters of the vinegar.


The mixture has the volume of 8 liters + 9 liters = 17 liters

and contains  0.22*8 + 0.76*9  liters of vinegar.


The concentration of the mixture is the ratio of the vinegar volume to the total mixture volume of 17 liters:


    concentration = %280.22%2A8+%2B+0.76%2A9%29%2F%288%2B9%29 = 0.5059  or  50.59%.


It is your


Answer.  The concentration of the mixture is 0.5059,  or  50.59%.


Memorize the method on how I derived this value:  in your school years you will meet such problems  MANY  TIMES.