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A dosage is prescribed as 4.00 mg of medicine per kg of body weight. How many mg of medicine should be given to a 112-pound person? Round your answer to a whole number (the ones place).

Answer :

Final answer:

To find the dosage in mg for a 112-pound person, we first convert the weight from pounds to kilograms, obtaining approximately 51 kg. Thereafter, multiply the weight in kilograms (51 kg) by the dosage rate (4.00 mg/kg), resulting in a dosage of 204 mg.

Explanation:

The dosage for a 112-pound person, prescribed as 4.00 mg of medicine per kg of body weight, can be calculated by first converting pounds to kilograms. Since 1 kilogram is 2.20462 pounds, we first divide 112 pounds by 2.20462 to get the weight in kilograms. Then we multiply this number by the dosage rate (4.00 mg/kg).

Solution: 112 pounds / 2.20462 = 50.8023 kilograms, round it off to 51 kg which is closer in value. Then, we calculate 51 kg * 4.00 mg/kg = 204 mg.

Thus, a 112-pound person should be given 204 mg of the medicine.

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