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

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(52781) (Show Source): You can put this solution on YOUR website!
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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 =  = 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.

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