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Answer :
To find the dosage for a 176 lb patient in grams over 10 days, you need to convert the weight to kilograms, calculate the daily dosage, and then multiply it by the number of days.
To calculate the amount of medication a patient should receive, we first need to convert the patient's weight from pounds to kilograms. There are 0.4536 kilograms in a pound, so the patient weighs approximately 176 x 0.4536 = 79.83 kilograms. Next, we multiply the patient's weight in kilograms by the dosage of 300 mg/kg to find the daily dosage. 79.83 x 300 = 23,949 mg.
To find the dosage for 10 days, we multiply the daily dosage by the number of days: 23,949 x 10 = 239,490 mg. To convert mg to grams, we divide by 1000: 239,490 / 1000 = 239.49 grams.
Therefore, a 176 lb patient should receive approximately 239.49 grams of the medication in 10 days.
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The patient should receive 240 grams of the medication over 10 days.
1. Convert pounds to kilograms:
To do this, divide the weight in pounds by 2.20462 (since 1 lb is approximately 0.453592 kg).
[tex]\(176 \text{ lb} \div 2.20462 = 79.8323 \text{ kg}\)[/tex]
2. Calculate the daily dosage for the patient:
Multiply the patient's weight in kilograms by the dosage per kilogram per day.
[tex]\(300 \text{ mg/kg/day} \times 79.8323 \text{ kg} = 23,949.69 \text{ mg/day}\)[/tex]
3. Calculate the total dosage for 10 days:
Multiply the daily dosage by the number of days.
[tex]\(23,949.69 \text{ mg/day} \times 10 \text{ days} = 239,496.9 \text{ mg}\)[/tex]
4. Convert milligrams to grams:
Since 1 gram is equal to 1000 milligrams, divide the total dosage in milligrams by 1000.
[tex]\(239,496.9 \text{ mg} \div 1000 = 239.4969 \text{ grams}\)[/tex]
So, the patient should receive approximately 240 grams of the medication over 10 days.