SOLUTION: how to mix a 10%solution and a 30% solution to get 1000ml of a 12% solution?

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Question 749834: how to mix a 10%solution and a 30% solution to get 1000ml of a 12% solution?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
how to mix a L% solution and a H% solution to get M ml of a T% solution?

Let u = amount of L%
Let v = amount of H%

%28Lu%2BHv%29%2FM=T and u%2Bv=M
Those are two equations with two unknown variables. Solve for u and v.

Substitute the given values to find the values for u and v.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

how to mix a 10%solution and a 30% solution to get 1000ml of a 12% solution?

Let amount of milliliters of 10% solution to be added, be T
Then: .1T + .3(1,000 – T) = .12(1,000)
.1T + 300 - .3T = 120
.1T - .3T = 120 – 300
- .2T = - 180

T, or amount of 10% solution to be added = %28-+180%29%2F-+.2, or highlight_green%28900%29 mL

Amount of 30% solution to be added = highlight_green%28100%29 (1,000 – 900) mL