Question

Medication is prescribed 5 mg/kilograms and i stopped in the pharmacy at 100 mg/5 ml how many milliliters will be prepared for a patient weighing 28 kg?

a. 10 mL
b. 14 mL
c. 7 mL
d. 5 mL

Answer 1

To determine the volume of medication, calculate the total dose needed based on the patient's weight (140 mg) and then convert this dose to milliliters using the concentration of the stock solution, resulting in 7 mL.

Step-by-step explanation:

To calculate the amount of medication in milliliters for a patient weighing 28 kg with medication prescribed at 5 mg per kilogram and a pharmacy stock solution of 100 mg per 5 mL, we need to perform two steps. First, we calculate the total medication dose needed for the patient, and second, we convert this dose to the equivalent volume based on the stock solution concentration.

Step 1: Calculate the total dose for the patient:

Total dose (mg) = 5 mg/kg × 28 kg = 140 mg.

Step 2: Convert the dose to mL using the concentration of the stock solution:

Since 100 mg is equivalent to 5 mL, we can set up the proportion:

(100 mg / 5 mL) = (140 mg / X mL), where X represents the unknown volume in mL that we need to find.

After performing the cross-multiplication, we get:

100 mg × X mL = 140 mg × 5 mL

X = (140 mg × 5 mL) / 100 mg = 7 mL.

Therefore, the patient should be given 7 mL of the medication.