Question

A medication is given at a dosage of 3.000 mg of medication per kg of body weight. If 0.1651 g of medication is given, then what was the patient’s weight in pounds (lbs.)?

Answer 1

Answer:

The patient’s weight is 121.4011 pounds.

Explanation:

Amount of medication given as dosage = 3.000 mg/kg of body weight

Amount of medication given =  0.1651 g = 165.1 mg

Let the weight of the person be x

When 3.000 mg of medication given to person with weight 'x' is equal to 165.1 mg.

$3.000 mg\times x=165.1 mg$

$x=\frac{165.2 mg}{3.000 mg}=55.067 kg$

1 kg = 2.20462 pounds

55.067 kg = $55.067 kg\times 2.20462 pounds=121.4011 pounds$

The patient’s weight is 121.4011 pounds.

Answer 2

Answer: 110.2 lbs

Explanation: First, let's determine how many kg the patient masses. Since the dose is 3.000 mg/kg we can convert that to 0.003000 g/kg. So 

0.1500 g / 0.003000 g/kg = 50 kg.  

So we know the patient has a weight of 50 kg. Now we simply multiply by 2.20462 to get lbs. So 

50 kg * 2.20462 lbs/kg = 110.231 lbs  

Rounding to 1 decimal place gives 110.2 lbs