Medication with strength 500 mg/mL has been ordered at 15 mg/kg. The patient weighs 223 lb. How much should be administered? If less than 1 round to the nearest hundredth; otherwise round to the nearest 10th

To calculate the correct dosage of medication to administer, follow these steps:

### 1. Convert the patient's weight from pounds to kilograms.
Since 1 kilogram is approximately 2.205 pounds:
\[
\text{Weight in kilograms} = \frac{223 \, \text{lb}}{2.205} \approx 101.2 \, \text{kg}
\]

### 2. Determine the required dose in milligrams.
The order specifies 15 mg of medication per kilogram of body weight:
\[
\text{Dose in mg} = 15 \, \text{mg/kg} \times 101.2 \, \text{kg} \approx 1518 \, \text{mg}
\]

### 3. Calculate the volume of medication to administer.
The medication has a concentration of 500 mg/mL. To find the volume in mL:
\[
\text{Volume in mL} = \frac{1518 \, \text{mg}}{500 \, \text{mg/mL}} \approx 3.036 \, \text{mL}
\]

### 4. Round the result.
Since the calculated volume is less than 1, round to the nearest hundredth:
\[
\text{Final dose} \approx 3.04 \, \text{mL}
\]

### Conclusion:
The correct amount to administer is **3.04 mL**.

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Do you want any further details or have any questions?

Here are some related questions:
1. How would the dosage change if the concentration were 250 mg/mL?
2. What would the dose be for a patient weighing 180 lb?
3. How would the dose be affected if the prescription was 20 mg/kg instead of 15 mg/kg?
4. What formula would you use if the dosage strength was given in percentage concentration instead of mg/mL?
5. How do you convert between pounds and kilograms in other contexts, such as for weight loss calculations?

**Tip:** Always double-check your units when calculating medication dosages to avoid serious errors.

Medication with strength 500 mg/mL has been ordered at 15 mg/kg. The patient weighs 223 lb. How much should be administered? If less than 1 round to the nearest hundredth; otherwise round to the nearest 10th.

Learn how to calculate the correct medication dosage for a patient weighing 223 lb when ordered at 15 mg/kg with a concentration of 500 mg/mL. Includes detailed unit conversion, dosage calculation, and rounding. Suitable for high school students and healthcare professionals.

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