Question

if a 750ml bag contains 300 mg gentamicin and the patient receives 300 ml, how many mg of gentamicin did the patient receive

Answer 1

The patient received 120 mg of gentamicin after calculating by setting up a proportion between the amount of medication in the entire bag and the volume of medication administered.

Step-by-step explanation:

To determine how many mg of gentamicin the patient received, we set up a simple proportion. Since a 750ml bag contains 300 mg of gentamicin, we can set up the ratio as follows:

300 mg gentamicin / 750 ml = X mg gentamicin / 300 ml

Where X represents the amount of gentamicin received. To solve for X, we cross multiply and divide:

(300 mg * 300 ml) / 750 ml = X mg

X = (300 mg * 300 ml) / 750 ml

X = 90000 mg·ml / 750 ml

X = 120 mg

Therefore, the patient received 120 mg of gentamicin.