Question

During your journey, you develop an abscessed tooth and have to visit the dentist. You are prescribed an antibiotic with a dosage of 7.5 mg/kg every six hours. If you weigh 128 pounds and the antibiotic comes in 250 mg tablets, how many tablets should you take each day?

Answer 1

Answer:

I should take 10.44 tablets in a day, approximately 10.5 tablets.

Step-by-step explanation:

In order to solve this problem we need to convert the weight from pounds to kilograms, to do that we need to divide it by 2.205.

$w = \frac{128}{2.205}\\w = 58.05 \text{ kg}$

Since I need to take 7.5 mg per kg of body weight, then in order to find the dosage we need to multiply the weight in kg by 7.5.

$\text{dosage} = 58*7.5 = 435 \text{ mg}$

Since I need to take it every six hours and there are 24 hours in a day, we will have to take 4 dosages in a day, therefore we need:

$\text{dosage(day)} = 435*6 = 2,610 \text{ mg}$

The antibiotic comes in 250 mg in tablets, therefore the number of tablets is:

$tablets = \frac{2610}{250} = 10.44$

I should take 10.44 tablets in a day, approximately 10.5 tablets.