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QuestionCalculate the mg per dose of Augmentin for a 66 lbs child, given the dosage is 50mg/kg/50 \mathrm{mg} / \mathrm{kg} / day, divided q 6 h6 \mathrm{~h}.

Studdy Solution

STEP 1

Assumptions1. The child's weight is66 lbs. The physician's prescription is50 mg/kg/day3. The doses are divided every6 hours

STEP 2

First, we need to convert the child's weight from pounds to kilograms because the dosage is prescribed in mg/kg. We know that1 lb is approximately equal to0.453592 kg.
Weightkg=WeightlbstimesConversion factorWeight_{kg} = Weight_{lbs} \\times Conversion\, factor

STEP 3

Now, plug in the given values for the child's weight and the conversion factor to calculate the weight in kilograms.
Weightkg=66 lbstimes0.453592 kg/lbWeight_{kg} =66\, lbs \\times0.453592\, kg/lb

STEP 4

Calculate the weight in kilograms.
Weightkg=66 lbstimes0.453592 kg/lb=29.9371 kgWeight_{kg} =66\, lbs \\times0.453592\, kg/lb =29.9371\, kg

STEP 5

Now that we have the child's weight in kilograms, we can calculate the total amount of Augmentin the child should receive per day. This can be done by multiplying the child's weight by the physician's prescribed dosage.
Total dosage=WeightkgtimesDosagemg/kg/dayTotal\, dosage = Weight_{kg} \\times Dosage_{mg/kg/day}

STEP 6

Plug in the values for the child's weight and the prescribed dosage to calculate the total dosage.
Total dosage=29.9371 kgtimes50 mg/kg/dayTotal\, dosage =29.9371\, kg \\times50\, mg/kg/day

STEP 7

Calculate the total daily dosage.
Total dosage=29.9371 kgtimes50 mg/kg/day=1496.855 mg/dayTotal\, dosage =29.9371\, kg \\times50\, mg/kg/day =1496.855\, mg/day

STEP 8

Now that we have the total daily dosage, we can calculate the dosage per dose. Since the doses are divided every6 hours, there are4 doses in a day (24 hours /6 hours/dose).
Dosage per dose=Total dosage/Number of dosesDosage\, per\, dose = Total\, dosage / Number\, of\, doses

STEP 9

Plug in the values for the total dosage and the number of doses to calculate the dosage per dose.
Dosage per dose=1496.855 mg/day/4 doses/dayDosage\, per\, dose =1496.855\, mg/day /4\, doses/day

STEP 10

Calculate the dosage per dose.
Dosage per dose=1496.855 mg/day/4 doses/day=374.21375 mg/doseDosage\, per\, dose =1496.855\, mg/day /4\, doses/day =374.21375\, mg/doseEach dose would contain approximately374.21375 mg of Augmentin.

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