Twenty milligrams of the drug lincomycin is to be given for each kilogram of a person's weight. The drug is to be mixed with 250 cc of a normal saline solution and administered intravenously over a 1-hour period. Clyde Dexter, who weighs 196 lb, is to be given the drug. Determine the dosage of the drug he will be given.

Question

18-04-2025
Mathematics

College

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Twenty milligrams of the drug lincomycin is to be given for each kilogram of a person's weight. The drug is to be mixed with 250 cc of a normal saline solution and administered intravenously over a 1-hour period. Clyde Dexter, who weighs 196 lb, is to be given the drug. Determine the dosage of the drug he will be given.

Answer :

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Final answer:

To determine the dosage of lincomycin for Clyde Dexter, his weight is first converted to kilograms (88.9 kg), then the prescribed dosage of 20 mg/kg is applied, resulting in a required dosage of 1778 mg.

Explanation:

To calculate the dosage of lincomycin for Clyde Dexter, we first need to convert his weight from pounds to kilograms. Knowing that there are approximately 2.20462 pounds in a kilogram, we can calculate his weight in kilograms. Following this, we will calculate the dosage of lincomycin required based on the prescribed 20 milligrams per kilogram of body weight.

Step 1: Convert Weight to Kilograms

Clyde’s weight in pounds: 196 lb

Conversion factor: 1 kg = 2.20462 lb

Clyde’s weight in kilograms: 196 lb / 2.20462 = 88.9 kg (approximately)

Step 2: Calculate Dosage

Prescribed dosage: 20 mg/kg

Clyde's weight: 88.9 kg

Required dosage of lincomycin: 88.9 kg * 20 mg/kg = 1778 mg

The calculated dosage of lincomycin for Clyde Dexter, based on his body weight, is therefore 1778 mg. This dose is to be mixed with 250 cc of normal saline solution and administered intravenously over a 1 hour period.