Answer
a. The 275lb man would need 2,062.50 mg of medicine.
b. He would not be receiving the proper dose. If he wanted to take three smaller doses per day, he should take a 687.50 each time.
Work Step by Step
a. 275(how much man weights)/20 (ratio of medicine to body weight) x 150 (mg) of medicine) = 2,062.50 mg needed for the man.
b. 24 (hours per day)/8 (hour interval between dose) = 3 doses per day
2,062.50 mg (dose the man should take per day)/3 (doses per day) = 687.50
In other words, the man would not be following a proper course of action if he were to take three 500mg doses of the medicine.