SOLUTION: Doreen Schmidt is a chemist. she needs to prepare 32 ounces of a 10% hydrochloric acid solution. find the amount of 16% solution and the mount of 8% solution she should mix to get

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Question 351192: Doreen Schmidt is a chemist. she needs to prepare 32 ounces of a 10% hydrochloric acid solution. find the amount of 16% solution and the mount of 8% solution she should mix to get this solution.
I have no idea what I am doing. This is the equation I have so far.
16x+1024-32x=320

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Doreen Schmidt is a chemist. she needs to prepare 32 ounces of a 10% hydrochloric acid solution. find the amount of 16% solution and the mount of 8% solution she should mix to get this solution.
.
Let x = amount of 16% solution
then
32-x = amount of 8% solution
.
Equation:
.16x + .08(32-x) = .10(32)

16x + 8(32-x) = 10(32)

16x + 256-8x = 320
8x + 256 = 320
8x = 64
x = 8 ounces (16% solution)
.
8% solution:
32-x = 32-8 = 24 ounces