Question

If an injectable solution contains 25μg of a dug substance in each 0.5 mL, how many milliliters would be required to provide a patient with 0.25 mg of the drug substance?

Answer 1

5mL would be required to provide a patient with 0.25 mg of the drug substance.

Explanation:

The problem states that an injectable solution contains 25μg of a dug substance in each 0.5 mL, and asks how many milliliters would be required to provide a patient with 0.25 mg of the drug substance.

So, the first step is the conversion of 25ug to mg, since the problem asks the answer in mg.

Each mg has 1000ug. So

1mg - 1000ug

xmg - 25ug

1000x = 25

`x = (25)/(1000)`

x = 0.025 mg

It means that each 0.5mL of the solution contains 0.025mg of the drug. How many milliliters would be required to provide a patient with 0.25 mg of the drug substance.

0.5mL - 0.025mg

xmL - 0.25mg

0.025x = 0.5*0.25

`x = (0.5*0.25)/(0.025)`

x = 10*0.5

x = 5mL

5mL would be required to provide a patient with 0.25 mg of the drug substance.