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denefor is prescribed for a 112 pound dog at 4.25 mg per kilogram of a body weight (1kg=2.205lb). What is the weight of a dog in kg

denefor is prescribed for a 112 pound dog at 4.25 mg per kilogram of a body weight-example-1
User Throvn
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1 Answer

12 votes
12 votes

From the question we have been given the rate of conversion from kilograms to pounds, which is;


1\operatorname{kg}=2.205lb

Therefore, for a dog that weighs 112 pounds, the weight in kilograms shall be calculated as follows;


\begin{gathered} 2.205lb=1\operatorname{kg} \\ (112)/(2.205)lb=x \\ 50.7936=x \\ \text{Rounded to 2 decimal places;} \\ x=50.79 \end{gathered}

This means the dog's weight in kilograms would be approximately 50.79 kilograms.

The prescription indicates 4.25 mg per kilogram of body weight. Hence, for a dog that weighs 50.79 kg, the dosage would be;


\begin{gathered} 1\operatorname{kg}=4.25mg \\ 50.79\operatorname{kg}=4.25(50.79)mg \\ 50.79\operatorname{kg}=215.8575mg \\ \text{Rounded to 2 decimal places;} \\ 50.79\operatorname{kg}=215.86mg \end{gathered}

Next, if Denefor is available in 200ml/5mL, and the dog requires a total of 215.86 mg, then the prescription in mL would be;


\begin{gathered} 200ml=5ml \\ \text{Therefore for a 215.86 ml prescription;} \\ 200ml+((15.86)/(200))ml=5ml+y \\ 200ml+0.0793ml=5ml+y \\ \text{Where y}=0.0793 \\ 215.86ml=5.0793ml \\ \text{Rounded to 2 decimal places} \\ 215.86ml=5.08ml \end{gathered}

This means the dog whose body weight is 112lb/50.79kg would be given 5.08ml of Denefor.

ANSWER:


\begin{gathered} (a)50.79\operatorname{kg} \\ (b)215.86mg \\ (c)5.08ml \end{gathered}

User Cmyers
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