A person weighs 150.0 lb, and the correct dosage of a drug is given as 1.50 mg per kilogram of body weight. How many milligrams of the drug should be given? (2.20 lb = 1 kg)

Respuesta :

Answer: The amount of drug that must be given is 102.3 grams

Explanation:

We are given:

Weight of the person = 150.0 lb

Converting this weight into kilograms, we use the conversion factor:

1 kg = 2.20 lb

So, [tex]150.0lb\times (\frac{1kg}{2.20lb})=68.2kg[/tex]

Applying unitary method:

For 1 kg of body weight, the correct dosage of the drug is 1.50 mg

So, for 68.2 kg of body weight, the correct dosage of the drug will be [tex]\frac{1.50mg}{1kg}\times 68.2kg=102.3mg[/tex]

Hence, the amount of drug that must be given is 102.3 grams

The amount of drug in milligrams that must be given will be "102.3 mg".

Mass and weight

According to the question,

Person's weight = 150.0 lb

We know that,

2.20 lb = 1 kg

then,                    = 150.0 × ([tex]\frac{1 \ kg}{2.20 \ lb}[/tex])

                           = 68.2 kg  

For one kilogram of body weight

Dosage of a drug = 1.50 mg

Now,

For 68.2 kg body weight,

The correct dosage will be:

= [tex]\frac{1.50 \ mg}{1 \ kg}[/tex] × 68.2 kg

= 102.3 mg

Thus the above approach is right.

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