How to set up a days supply calculation
Days supply is how many days a dispensed quantity lasts at the prescribed sig. Insurance billing, refill-too-soon rejections and controlled-substance limits are all computed from it, so it's the most common calculation in a community pharmacy and a fixture on the exam. The method is one division, and the two skills are counting the total quantity in the right unit and counting the daily use in that same unit.
days supply = total quantity ÷ quantity used per day, rounded DOWN
Rounding down is not optional. A 33.3-day supply is 33 days, because on day 34 there isn't a full dose left. Billing a partial day as a whole one is a claim for medication the patient doesn't have.
Tablets and capsules
100 tablets, 1 tablet three times daily.
per day = 1 × 3 = 3 tablets
days = 100 ÷ 3 = 33.33, round down → 33 days
When the sig is written as a frequency (q8h, q12h) rather than "times daily", convert: q8h is 3 doses a day, q6h is 4, q12h is 2. "Every 4 hours while awake" is conventionally 6 doses. A PRN sig is billed on its maximum: "1 to 2 tablets every 6 hours as needed" is 8 tablets a day for days-supply purposes.
Eye and ear drops
A 10 mL ophthalmic bottle, 1 drop in each eye three times daily. Assume 20 drops per mL.
total drops = 10 × 20 = 200 drops
per day = 1 × 2 × 3 = 6 drops
days = 200 ÷ 6 = 33.33, round down → 33 days
The drops-per-mL figure is a convention, and the question gives it; 20 is the common one, but use whatever number the stem states. "Each eye" doubles the daily count and is the detail most often missed. In practice most opened ophthalmic bottles carry a 28-day discard-after-opening limit, so a calculated 33 days may be capped at 28 at the bench; the practice problems here say to assume the bottle is used until empty.
Inhalers
An albuterol HFA inhaler labelled 200 actuations, 2 puffs four times daily.
per day = 2 × 4 = 8 puffs
days = 200 ÷ 8 = 25 days
Inhalers are counted in actuations, never in mL or grams, and the number of actuations is on the label. A rescue inhaler prescribed as needed is billed on the maximum daily puffs the sig allows.
Oral liquids
A 150 mL bottle of amoxicillin 400 mg/5 mL, 7.5 mL twice daily.
per day = 7.5 × 2 = 15 mL
days = 150 ÷ 15 = 10 days
Work in mL. The strength only matters when the sig is written in milligrams, in which case convert the dose to mL first: a 600 mg dose of the 400 mg/5 mL suspension is
dose volume = 600 ÷ 400 × 5 = 7.5 mL
and then the calculation is the same.
Where students lose the points
- Rounding up or to nearest. Down, always.
- Both eyes counted as one. OU means each eye; double the drops.
- Inhalers by weight or volume. Actuations only.
- PRN sigs billed on the minimum. Days supply uses the maximum the sig allows.
- mg sig with a mL bottle. Convert the dose to mL before dividing the bottle by it.
- Insulin without the stability cap. Insulin has its own topic on this site for that reason.