SOLUTION: the dosage of medicine ordered by a doctor is 30 milliliters of a 12% solution. A nurse has available both a 30% solution and a 6% solution of this medicine. How many milliliters o

Question 779223: the dosage of medicine ordered by a doctor is 30 milliliters of a 12% solution. A nurse has available both a 30% solution and a 6% solution of this medicine. How many milliliters of each could be mixed to prepare this 30 ml dosage?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the dosage of medicine ordered by a doctor is 30 milliliters of a 12% solution. A nurse has available both a 30% solution and a 6% solution of this medicine. How many milliliters of each could be mixed to prepare this 30 ml dosage?
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Equation:
0.30x + 0.06(30-x) = 0.12*30
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30x + 6*30 - 6x = 12*30
24x = 6*30
x = (1/4)30
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x = 7.5 ml (amt of 30% solution needed)
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30-x = 22.5 ml (amt. of 6% solution needed)
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Cheers,
Stan H.
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