Question

A medication is given at a dosage of 3.000 mg of medication per kg of body weight. If 0.1500 g of medication is given, then what was the patient’s weight in pounds (lbs.)? Report answer to 1 decimal places. Do not enter “lbs” as part of your answer.

Answer 1

The patient weighs approximately 110.2 pounds. This was calculated by converting the given dosage to milligrams, determining the patient's weight in kilograms using the dosage per kilogram rate, then converting that weight to pounds.

Step-by-step explanation:

To solve the question of how much the patient weighs in pounds when given a 0.1500 g (150 mg) dose of medication at a dosage rate of 3.000 mg/kg, we must first convert grams to milligrams and then use unit conversion to find the patient's weight in kilograms, followed by converting that to pounds.

The medication dose of 0.1500 g is equivalent to 0.1500 × 1000 mg/g = 150 mg. Using the dosage rate of 3.000 mg/kg, we can find the patient's weight in kilograms: Weight in kg = Dose in mg / Dosage rate in mg/kg = 150 mg / 3.000 mg/kg = 50 kg.

To convert kilograms to pounds, we use the conversion factor that 1 kg is approximately 2.20462 pounds. Therefore, the patient's weight in pounds is approximately 50 kg × 2.20462 lbs/kg = 110.2 lbs, rounded to one decimal place as requested.

Answer 2

Medication dosage =
`3.00 mg/kg` of body weight (given)

Medication given to patient =
`0.150 g` (given)

Since,
`1 g = 1000 mg`

So,
`0.150 g` =
`0.150* 1000 = 150 mg`

Since, medication dasage is
`3.0 mg` for each
`1 kg` of body weight.

So, for 150 mg, the body weight is calculated as:

Patient's weight =
`(150 mg* 1 kg)/(3.0 mg) = 50.0 kg`

Since,
`1 kg = 2.20462 lb`

So, for 50.0 kg =
`50* 2.20462 = 110.231 lbs \simeq 110.2 lbs`

Hence, the patient's weight is 110.2.