Question

Difficulty: MediumPharmacological Therapies

A practical nurse in a long-term care facility is reviewing a new medication order for a resident diagnosed with a lower respiratory tract infection. The provider's prescription reads: 'Azithromycin 500 mg500\text{ mg} PO on day 1, followed by 250 mg250\text{ mg} PO daily on days 2 through 5.' The pharmacy dispenses an azithromycin oral suspension with a concentration of 200 mg/5 mL200\text{ mg}/5\text{ mL}. How many total milliliters (mL) of this medication will the nurse administer over the entire 5-day treatment course? (Record answer to the nearest tenth. Do not include units in answer.)

Answer: 37.5 mL

Answer

37.5
The prescription requires a total of 1,500 mg1,500\text{ mg} of azithromycin over 5 days (500 mg500\text{ mg} on day 1, plus 1,000 mg1,000\text{ mg} over days 2 through 5). Using the supplied concentration of 200 mg/5 mL200\text{ mg}/5\text{ mL}, the required volume is calculated by dividing 1,5001,500 by 200200, which equals 7.57.5. Multiplying 7.57.5 by 55 yields exactly 37.5 mL37.5\text{ mL}.

Step-by-Step Solution

1
Calculate the total milligrams required for the full 5-day prescription.
Day 1 = 500 mg500\text{ mg}. Days 2-5 (4 days) = 1,000 mg1,000\text{ mg}. Total = 1,500 mg1,500\text{ mg}.
To determine the complete volume needed, the total medication dosage over all days must first be established.
2
Set up the dimensional analysis or standard dosage formula to convert total milligrams to milliliters.
(1,500 mg200 mg)×5 mL(\frac{1,500\text{ mg}}{200\text{ mg}}) \times 5\text{ mL}
This aligns the prescribed dose with the available concentration (200 mg200\text{ mg} per 5 mL5\text{ mL}) supplied by the pharmacy.
3
Solve the equation and round to the nearest tenth as instructed.
7.5×5=37.5 mL7.5 \times 5 = 37.5\text{ mL}
Ensures the correct final liquid volume is calculated without rounding errors.

Key Concept

Multi-step Dosage Calculation and Course Accumulation
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