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Answer :
Final answer:
By converting 112 pounds to kilograms and then multiplying by the dosage of 4 mg per kilogram, we get a prescribed dosage of 203 mg for the person.
Explanation:
The question asks how many milligrams of medicine should be given to a 112-pound person if the prescribed dosage is 4.00 mg per kg of body weight. First, it is necessary to convert pounds to kilograms because the dosage is prescribed per kilogram. There are approximately 2.20462 pounds in one kilogram. Therefore, to find the weight in kilograms, divide 112 pounds by 2.20462.
112 lb ÷ 2.20462 lb/kg = 50.802 kg (rounded to three decimal places).
Now, to find the dosage in milligrams for a 50.802 kg person, multiply the number of kilograms by the dosage per kilogram:
50.802 kg × 4.00 mg/kg = 203.208 mg.
This value is rounded to the nearest whole number because dosages are usually given in whole milligrams, so the prescribed dosage would be 203 mg.
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