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Answer :
Final answer:
To solve this problem, convert the weight from pounds to kilograms. Calculate the dosage and cost of medication. Determine the final charge to the patient's account, rounded to the nearest hundredth.
Explanation:
To solve this problem, we first need to convert the weight of the patient from pounds to kilograms. We know that 1 lb is equal to 0.45 kg, so we can calculate that the patient weighs 83.25 kg (185 lbs * 0.45 kg/lb). Next, we need to find the dosage for the patient, which is 5 ml per 25 kg of body weight. Using cross multiplication, we can set up the following proportion:
5 ml / 25 kg = x ml / 83.25 kg
Solving for x, we find that x = (5 ml * 83.25 kg) / 25 kg = 16.65 ml. Now, to find the cost of the medication to the pharmacist, we multiply the dosage (16.65 ml) by the cost per milliliter ($1.30/ml) to get $21.645. Rounded to the nearest hundredth, the cost is $21.65. Finally, adding a 15% markup to the cost, the pharmacist would charge the patient's account with $21.65 + (0.15 * $21.65) = $24.8975. Rounded to the nearest hundredth, the pharmacist would charge $24.90 to the patient's account.
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Final answer:
The pharmacist charged $24.90 for the medication.
The correct answer choice is B) $24.90.
Explanation:
To solve this problem, we need to convert the patient's weight from pounds to kilograms, calculate the medication dosage in milliliters, and then determine the total cost including the markup.
The steps are as follows:
- Convert the weight from pounds to kilograms: 185 lbs × 0.45 kg/lb = 83.25 kg.
- Determine the medication dosage: As the dosage is 5 ml per 25 kg of body weight, then the total dosage in milliliters is (83.25 kg ÷ 25 kg) × 5 ml = 16.65 ml.
- Calculate the cost at $1.30 per milliliter: 16.65 ml × $1.30/ml = $21.645.
- Calculate the total cost with a 15% markup: $21.645 × (1 + 0.15) = $24.89175.
After rounding to the nearest hundredth, the pharmacist charged $24.89 for the medication.
Therefore, the correct answer is B) $24.90.
