Question

A certain drug dosage calls for 14 mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 242 pounds, how many milligrams of the drug should he receive every 12 hours?

Answer 1

768 mg

Explanation:

We have been given that a certain drug dosage calls for 14 mg per kg per day and is divided into two doses (1 every 12 hours). A person weighs 242 pounds.

First of all, we will convert the weight of person into kg from pounds by multiplying 242 pounds by 0.453592 as 1 pound equals 0.453592 kg.

`242\text{ Pounds}* 0.453592\frac{\text{ kg}}{\text{pounds}}=109.769264\text{ kg}`

Since 1 kg body weight requires 14 mg per day, so body weight of 109.769264 kg will require 109.769264 times 14 mg per day.

`109.769264\text{ kg}* 14\frac{\text{mg}}{\text{ kg}}=109.769264* 14\text{ mg}=1536.769696\text{ mg}`

Since two dosage should be given per day, so we will divide total dosage amount by 2 to find amount of each dosage.

`\text{Amount of each dosage}=\frac{1536.769696\text{ mg}}{2}`

`\text{Amount of each dosage}=768.384848\text{ mg}`

Rounding to nearest milligram:

`\text{Amount of each dosage}\approx 768\text{ mg}`

Therefore, the person should receive 768 mg of the drug every 12 hours.