A physician orders Lanoxin elixir 125 mcg daily for a child. The medication available is digoxin elixir 0.05mg/ml. How many milliliters are needed for a one-month supply? A. 60ml B. 75ml C. 30ml D. 45ml

The correct answer is:

75ml (B.)

Explanation:

First of all let us lay out the details in the question for ease of understanding:

Lanoxin elixir = 125 mcg (mcg is microgram) daily

digoxin elixir = 0.05mg/ml (mg is milligram; ml is milliliters)

Next, let us find the relationship between the two units of both drugs, that is the relationship between microgram (also written as μg) and milligram (mg).

1 mg = 1000 μg (microgram)

therefore, 0.05 mg = 1000 × 0.05 = 50 μg.

So the concentration of digoxin elixir can also be written as 50 μg/ml

Next let us find the the total amount of Lanoxin elixir to be taken for a month (30 days);

since daily amount = 125 μg

therefore, 30 days = 125 × 30 = 3,750 μg (microgram)

Finally let us find the number of millilitres of digoxin elixir that will contain 3,750 μg;

for digoxin elixir;

0.05 mg = 1 ml

50 μg = 1ml (solved above)

∴ 3,750 μg = (1 ÷ 50) × 3750 = (3750 ÷ 50) = 75 ml.

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