# In a bustling hospital, Nurse Sarah is responsible for administering medications

In a bustling hospital, Nurse Sarah is responsible for administering medications

In a bustling hospital, Nurse Sarah is responsible for administering medications to patients. On a particularly hectic day, she needs to calculate the dosage of a critical medication, but the figures are shrouded in ambiguity.
Patient A, suffering from a severe infection, requires a medication that should be dosed at 0.02 mg/kg of body weight. Patient A weighs 75 kg, but there’s a twist – the scale used for weighing patients has a 5% margin of error.
To further complicate matters, the medication is provided in vials of 100 mg, and Nurse Sarah must dilute it with a 0.9% saline solution to a final concentration of 1 mg/mL. However, the pharmacy has given her two different volumes to dilute the medication: 250 mL and 500 mL.
Adding to the confusion, Patient B, in the adjacent room, is also in need of the same medication, but their weight is not available due to a broken scale. The only information provided is that Patient B’s weight is “approximately 1.5 times that of Patient A.”
Nurse Sarah is in a dilemma. She must determine the correct dosage for Patient A while accounting for the margin of error in the weight measurement, decide on the appropriate dilution volume for the medication, and estimate Patient B’s weight for their own dosage calculation.
What dosage should Nurse Sarah administer to Patient A, and which volume of dilution should she choose? Moreover, what would be the approximate dosage for Patient B? Navigate through this intricate scenario, taking into account the uncertainties, to ensure safe and accurate medication administration.