This problem is providing us with the prescription of a patient having Alzheimer's disease as 20.0 mg/day. Also, it points out Memantine pills are available in 5.00 mg/capsule so the number of pills in 14 days are required and then found to be 56 capsules as shown below:
In chemistry, the use of dimensional analysis allows us to figure out a specific result, given information we can set up in order to do so. Despite not having specific formulas for every problem, we can use the units of the required in order to up with a reasonable mathematical setup.
Thus, since we need the number of capsules taken in fourteen days, we can start by the daily dose 20.0 mg/day, cancel out the mg by dividing by 5.00 mg/capsule and finally multiply by 14 days in order to get rid of the day at the bottom of the daily dose as shown below:
[tex]20.0\frac{mg}{day}*\frac{1capsule}{5.00 mg}*14 day[/tex]
Hence, the result turns out to be:
[tex]56\ capsules[/tex]
Learn more about dimensional analysis: https://brainly.com/question/10874167