If a patient requires 3000 mg of medication and the concentration is 150 mg/3 mL, how much should be administered?

To determine how much medication to administer, understanding the relationship between the concentration of the medication and the total amount needed is essential.

The concentration of the medication is given as 150 mg per 3 mL. To find out how many mL are necessary to achieve the total required dose of 3000 mg, first, you need to calculate how many mg are in 1 mL. This is done by dividing the amount of medication (150 mg) by the volume it occupies (3 mL):

150 mg / 3 mL = 50 mg/mL.

This tells us that each milliliter contains 50 mg of the medication.

Next, to find out how many mL are required to provide 3000 mg, you divide the total required dose by the amount per mL:

3000 mg / 50 mg/mL = 60 mL.

Since this option isn’t listed, let's check again using the original concentration directly to calculate the volume based on the original formulation. We can set up a proportion based on the concentration:

If 150 mg is in 3 mL, then to find out how many mL (let's call it X) are needed for 3000 mg: