A certain drug dosage calls for 460 mg per kg per day and is divided into four doses (1 every 6 hours). If a person weighs 229 pounds, how many milligrams of the drug should he receive every 6 hours?

11.95 g / 6 hours

Step-by-step explanation:

drug dosage = 460 mg per kg per day

to be administered every 6 hours to a person who weighs 229 pounds

1 pound = 0.453592 kg

229 pounds = 229 * 1 pound = 229 * 0.453592 kg = 103.873 kg

dosage of drug needed for 103.873 kg

460 mg is to 1 kg per day

103.873 kg = 103.873 * 460 mg per 1 kg per day = 47781.58 mg per 103.873 kg per day

number of 6 hours in a day = 24 hours : 6 hours = 4 times per day

dosage needed per 6 hours

47781.58 : 4 = 11945.395 mg for every 6 hours = 11.95 g / 6 hours