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

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> 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      Log On


   



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) About Me  (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.
%285x%2B6.5y%29%2F200=6.0
5x%2B6.5y=1200

Accounting for volumes to use, x+y=200.
You have a system:
5x%2B6.5y=1200
x%2By=200

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
y=133 ml. of the 6.5% acetic acid vinegar.

x=67 ml. of the 5% material.