Medical Dosage Problems
Dosage problems calculate how much medication to administer based on a patient's weight, age, or condition. A doctor prescribes 15 mg per kilogram of body weight, the patient weighs 180 pounds, and the medication comes in 250 mg tablets — how many tablets per dose? These require careful unit conversion (pounds to kilograms, milligrams to milliliters), proportional reasoning, and attention to detail that has real consequences. Rounding the wrong way or confusing mg with mL isn't just a lost point on a test — in practice, it's a patient safety issue. This category is essential for nursing, pharmacy, and pre-med students, and it's one of the few areas where word problem skills translate directly to professional competence.Amoxicillin 600mg every 8 hours, available 400mg/5mL. Calculate mL per dose and total daily dose in healthcare math.
Calculate 500mg ampicillin dose from 200mg/2mL suspension. Convert mL to teaspoons.
Drug C: 5mg tablets. Patient needs varying doses over 3 weeks (25mg, 15mg, 5mg daily). Find total tablets required.
Model medication decay: a=900(7/8)^T. Find insulin after 2 hours, interpret initial dose and decay rate.
Calculate minimum and maximum daily furosemide dose for 12 kg infant using safe dose range 1-4 mg/kg/day. Verify against q12h orders.
Calculate gentamicin dose (4 mg/kg/day for 60 kg patient), IV solution volume, and infusion rate for 90-minute IVPB.
Solve this mixture problem: dilute 30% glucose to 20%. Learn how to balance concentration and volume using algebra.
Calculate pediatric medication dosage using body weight in kg. Convert pounds to kilograms, then multiply by dose rate (mcg/kg).
Calculate total insulin dose using correction factor and carb ratio. Two-step applied problem for medical mathematics.
Learn to calculate tablets per dose. Patient receives 15mg twice daily, supplied as 5mg tablets. Step-by-step solution.