A child weighs 18.5 lbs. The doctor prescribes 80 mg/kg of Amoxicillin. How many 500 mg tablets should be administered?

Step 1: Convert the child's weight from pounds (lbs) to kilograms (kg).
Given that $1 \text{ kg} = 2.2 \text{ lbs}$.

$$\text{Child's weight in kg} = \frac{18.5 \text{ lbs}}{2.2 \text{ lbs/kg}}$$ $$\text{Child's weight in kg} \approx 8.409 \text{ kg}$$

Step 2: Calculate the total prescribed dosage in milligrams (mg) for the child.
The prescribed dosage is $80 \text{ mg/kg}$.

$$\text{Total dosage} = 80 \frac{\text{mg}}{\text{kg}} \times 8.409 \text{ kg}$$ $$\text{Total dosage} \approx 672.72 \text{ mg}$$

Step 3: Calculate the number of tablets to administer.
Each tablet contains $500 \text{ mg}$ of Amoxicillin.

$$\text{Number of tablets} = \frac{\text{Total dosage}}{\text{Strength per tablet}}$$ $$\text{Number of tablets} = \frac{672.72 \text{ mg}}{500 \text{ mg/tablet}}$$ $$$$