QQuestionPharmacology
QuestionPharmacology
7. The prescribed dosage of a drug is $10 \mathrm{mg} / \mathrm{kg}$ daily, meaning that 10 milligrams of the drug should be administered daily for each kilogram of a patient weight. How many 400 -milligram tablets should be given each day to a patient who weights 175 pounds? Use the fact that 1 lb is approximately 0.45 kg .
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Answer
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Step 1:: Convert the patient's weight from pounds to kilograms.
175 \text{ pounds} \times \frac{0.45 \text{ kg}}{1 \text{ pound}} = 78.75 \text{ kg}
We know that 1 pound is approximately equal to 0.45 kilograms. So, a patient weighing 175 pounds would weigh:
Step 2:: Calculate the total daily dosage in milligrams.
10 \mathrm{mg} / \mathrm{kg} \times 78.75 \text{ kg} = 787.5 \mathrm{mg}
For a patient weighing 78.75 kg, the total daily dosage would be:
Step 3:: Determine the number of 400 -milligram tablets needed.
\frac{787.5 \mathrm{mg}}{400 \mathrm{mg} / \text{ tablet}} = 1.97 \text{ tablets}
To find the number of 400 -milligram tablets needed, divide the total daily dosage by the dose per tablet: Since it's not possible to take a fraction of a tablet, we'll need to round up to the nearest whole number.
Step 4:: Round up to the nearest whole number of tablets.
Since 1.97 is closer to 2 than to 1, we need to take 2 tablets daily to receive the prescribed dosage.
Final Answer
The patient should take 2 tablets each day to receive the prescribed dosage.
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