BTGmoderatorLU wrote:Of the 200 math majors at a certain university, 30 percent will be assigned to advanced calculus on Monday and Wednesday and the remaining 70 percent will be assigned to advanced calculus on Tuesday and Thursday. However, 40 percent of the math majors prefer Tuesday and Thursday and 60 percent prefer Monday and Wednesday. What is the lowest possible number of math majors who will NOT be assigned to the days they prefer?
A. 15
B. 20
C. 30
D. 45
E. 60
The OA is E.
Please, can anyone assist me with this PS question? Thanks.
> 30% of students are assigned to Monday and Wednesday = 30% of 200 = 60
> 70% of students are assigned to Tuesday and Thursday = 70% of 200 = 140
> 60% of students prefer Monday and Wednesday = 60% of 200 = 120
> 40% of students prefer Tuesday and Thursday = 40% of 200 = 80
We need the least number of students who will not be assigned to their preferred days, thus, we will assign the maximum possible students as per their preference.
Case 1: Assuming all of those who prefer Tuesday and Thursday are assigned Tuesday and Thursday
# of students who would NOT get their preferred days = 140 - 80 = 60
Case 2: Assuming all of those who prefer Monday and Wednesday are assigned Tuesday and Thursday
# of students who would NOT get their preferred days = 120 + (80 - 20) = 180
Since the question asks for the lowest possible number of math majors who will NOT be assigned to the days they prefer, the answer is 60!
The correct answer:
E
Hope this helps!
-Jay
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