Medication dosage = [tex]3.00 mg/kg[/tex] of body weight (given)
Medication given to patient = [tex]0.150 g[/tex] (given)
Since, [tex]1 g = 1000 mg[/tex]
So, [tex]0.150 g[/tex] = [tex]0.150\times 1000 = 150 mg[/tex]
Since, medication dasage is [tex]3.0 mg[/tex] for each [tex]1 kg[/tex] of body weight.
So, for 150 mg, the body weight is calculated as:
Patient's weight = [tex]\frac{150 mg\times 1 kg}{3.0 mg} = 50.0 kg[/tex]
Since, [tex]1 kg = 2.20462 lb[/tex]
So, for 50.0 kg = [tex]50\times 2.20462 = 110.231 lbs \simeq 110.2 lbs[/tex]
Hence, the patient's weight is 110.2.