Calculating Milligrams of Vancomycin in IV Solution

How many milligrams of vancomycin are in a 1.25 gram per 250 mL of IV solution?

Which of the following choices represents the correct amount of milligrams of vancomycin?

A. 312.5

B. 625

C. 937.5

D. 1250

Answer:

The correct amount of milligrams of vancomycin in a 1.25 gram per 250 mL of IV solution is 312.5 milligrams.

To determine the number of milligrams of vancomycin in a 1.25 gram per 250 mL of IV solution, we can use the proportion method. There are 312.5 milligrams of vancomycin in the IV solution.

Explanation:

To determine the number of milligrams of vancomycin in a 1.25 gram per 250 mL of IV solution, we can use the proportion method. Since 1 gram is equal to 1000 milligrams, we have 1.25 grams = 1250 milligrams. Similarly, 250 mL is equal to 250 milliliters. Therefore, the ratio is 1250 mg / 250 mL. To find the amount of vancomycin in a specific volume, we can set up a proportion by using the given ratio.

Let's set up the proportion:

1250 mg / 250 mL = x mg / 1 mL

Cross-multiplying, we get 1250 mg * 1 mL = 250 mL * x mg. Simplifying, we find x = 312.5 mg. Therefore, there are 312.5 milligrams of vancomycin in the IV solution.