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The daily dose of ampicillin for the treatment of an ear infection is 115 mg/kg of body weight. If ampicillin tablets are available in 250 mg size, calculate the number of tablets that a 33.5 lb child must take per day.

Answer :

Final answer:

To calculate the daily dosage of ampicillin for a 33.5 lb child, convert the weight to kilograms, calculate the total daily dosage using the prescribed mg/kg, and then divide by the tablet size. The child would need approximately 7 tablets per day.

Explanation:

To calculate the number of ampicillin tablets a 33.5 lb child must take per day for the treatment of an ear infection, we first need to convert the child's weight to kilograms. Knowing that 1 pound is equivalent to 0.453592 kilograms, we multiply 33.5 lb by 0.453592 to get the weight in kilograms. Then, we use the dosage formula of 115 mg/kg to find the total daily dosage in milligrams. Finally, we divide this dosage by the size of one ampicillin tablet, which is 250 mg, to determine the number of tablets.

Here's the step-by-step calculation:

  1. Convert pounds to kilograms: 33.5 lb * 0.453592 kg/lb = 15.19 kg (rounded to two decimal places).
  2. Calculate the total daily dosage: 15.19 kg * 115 mg/kg = 1746.85 mg.
  3. Determine the number of tablets: 1746.85 mg / 250 mg/tablet = approximately 6.99 tablets

Since we cannot have a fraction of a tablet, the child would need to take 7 tablets per day (rounding up to the nearest whole tablet).

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