SOLUTION: James wishes to obtain 800 mL of a 7% solution of boric acid by mixing 4% and 12% solutions. How much of each should be used?

Question 1055407: James wishes to obtain 800 mL of a 7% solution of boric acid by mixing 4% and 12% solutions. How much of each should be used?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
No. Boric acid solution will normally be at most, about 5% in water. Is the temperature near or more than 60 C?
http://sti.srs.gov/fulltext/SRNL-STI-2011-00578.pdf
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
James wishes to obtain 800 mL of a 7% solution of boric acid by mixing 4% and 12% solutions. How much of each should be used?

Let amount of 4% solution to mix, be F
Then amount of 12% solution to mix is: 800 - F
The following equation is thus formed: .04F + .12(800 - F) = .07(800)
.04F + 96 - .12F = 56
.04F - .12F = 56 - 96
- .08F = - 40

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