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.