Final answer:
The patient will need 70 vials of antibiotic to complete the prescribed two-week course of 100mg per day, since each vial contains 20mg.
Step-by-step explanation:
To calculate the number of vials needed for the entire treatment, we need to use unit conversion skills. The patient is prescribed 100mg of antibiotic per day, and the treatment spans over two weeks, which is 14 days. Each vial contains 20mg of the antibiotic.
To find out the total milligrams needed for the 14 days, we multiply the daily dosage by the number of days:
100mg/day × 14 days = 1400mg
Next, we divide the total milligrams by the amount per vial to get the number of vials needed for the treatment:
1400mg ÷ 20mg/vial = 70 vials
Thus, the patient will need 70 vials of the antibiotic to complete the two-week course.
This is an example of a pharmaceutical calculation, commonly used by healthcare professionals to ensure that a patient receives the correct amount of medication.