Final answer:
The patient will drink a total of 10.1 cups of medicine over the course of the week after converting from pints to cups and adding the extra 2/4 cup of medicine.
Step-by-step explanation:
To solve how much medicine the patient will drink over a week, we need to convert pints to cups and perform some basic arithmetic. Each full cup is 2 2/5 pints, which equals 2.4 pints. The patient drinks 2 full cups, which is 4.8 pints in total (2 cups × 2.4 pints/cup). Now, we need to convert pints to cups using the fact that 1 pint equals 2 cups. Therefore, 4.8 pints is equivalent to 9.6 cups (4.8 pints × 2 cups/pint).
Since the patient is also instructed to take an additional 2/4 a cup of medicine, which simplifies to 1/2 a cup, we need to add this to the total. Adding 0.5 cups to 9.6 cups gives us 10.1 cups of medicine in total for the week.