SOLUTION: The dosage of a medicine ordered by a doctor is 40 mL of a 16% solution. A nurse has available both a 20% solution and a 4% solution of this medicine. How many milliliters of eac

Question 508314: The dosage of a medicine ordered by a doctor is 40 mL of a 16% solution. A nurse has available both a 20% solution and a 4% solution of this medicine. How many milliliters of each could be mixed to prepare this 40-mL dosage?
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Solution A
Amount = x ?
Concentration = 20% = 0.20
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Solution B
Amount =40- x ?
Concentration =4% = 0.04
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Resultant Solution
Amount = 40ml
Concentration = 16%=0.16
===================================================
[Amount Solution A * Concentration A] + [Amount Solution B * Concentration of B] = Amount of Resultant * Concentration of resultant
=================================================
Put the value in above equation
(x*0.2)+((40-x)*0.04=40*0.16
0.2x+1.6-0.04x)=6.4
0.16x=6.4-1.6
0.16x=4.8
Divide by 0.16 both sides
0.16x/0.16=4.8/0.16
x=30ml
Amount of solution A = 30ml
Amount of Sultion B = 40-30=10ml

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