SOLUTION: in a chemistry lab, you have two vinegars. one is 5% acetic acid, and one is 6.5% acetic acid. you want to make 200 ml. of vinegar with 6% acetic acid. how many milliliters of each

Question 708059: in a chemistry lab, you have two vinegars. one is 5% acetic acid, and one is 6.5% acetic acid. you want to make 200 ml. of vinegar with 6% acetic acid. how many milliliters of each vinegar do you need to mix together?
please show work
it would be greatly appreciated
thanks :)
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
With values like those, you should guess that you'll need a bit more than 100ml of the 6.5%, and a bit less than 100 ml. of the 5 %.

x for 5% material, y for 6.5% material.

Accounting for volumes to use, x+y=200.
You have a system:

Multiply the second entire equation by 5, and subtract the result from the first....
Get 1.5y=200, so y=133 plus 1/3 milliliters
ml. of the 6.5% acetic acid vinegar.

ml. of the 5% material.
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