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

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) (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%

and
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) (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 = , or mL

Amount of 30% solution to be added = (1,000 � 900) mL
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