Answer:
- def determineGrade(score): 
 -  if(score >= 90): 
 -  return "A" 
 -  elif(score>=80): 
 -  return "B" 
 -  elif(score>=70): 
 -  return "C" 
 -  elif(score>=60): 
 -  return "D" 
 -  else: 
 -  return "F" 
 -  
 - totalGrade = 0 
 - aCount = 0 
 - bCount = 0 
 - cCount = 0 
 - dCount = 0 
 - fCount = 0 
 - user_score = int(input("Enter your score: ")) 
 -  
 - while(user_score > 0): 
 -  totalGrade += 1 
 -  grade = determineGrade(user_score) 
 -  
 -  if(grade == "A"): 
 -  aCount += 1 
 -  elif(grade == "B"): 
 -  bCount += 1 
 -  elif(grade == "C"): 
 -  cCount += 1 
 -  elif(grade == "D"): 
 -  dCount += 1 
 -  else: 
 -  fCount += 1 
 -  
 -  user_score = int(input("Enter your score: ")) 
 -  
 - print("Total number of grades = " + str(totalGrade)) 
 - print("Number of A's = " + str(aCount)) 
 - print("Number of B's = " + str(bCount)) 
 - print("Number of C's = " + str(cCount)) 
 - print("Number of D's = " + str(dCount)) 
 - print("Number of F's = " + str(fCount))
 
Step-by-step explanation:
Firstly, we can define a function determineGrade() that takes one input values, score, and determine the grade based on the letter-grade category given in the question. (Line 1 - 11)
Next, we declare a list of necessary variables to hold the value of total number of grades, and total number of each grade (Line 13 -18). Let's initialize them to zero. 
Next, we prompt for user input of the first score (Line 20).
To keep prompting input from user, we can create a while loop with condition if the current user_input is not negative, the Line 22 - Line 35 should keep running. Within the while loop, call the determineGrade() function by passing the current user_input as argument to obtain a grade and assign it to variable grade. 
We develop another if-else-if statements to track the number of occurrence for each grade (Line 26 - 35). Whenever a current grade meet one of the condition in if-else-if statements, one of the counter variables (aCount, bCount... ) will be incremented by one.
By the end of the while-loop, we prompt use for the next input of score.
At last, we display our output using print() function (Line 39 - 44).