Stiv wrote:
If 2/5 of the students at College C are business majors, what is the number of female students at College C?
(1) 2/5 of the male students at College C are business majors.
(2) 200 of the female students at College C are business majors.
Statement 1:
40% OF THE MALE STUDENTS are business majors.
When the female students are added in, we get the information given in the prompt:
40% OF ALL THE STUDENTS are business majors.
Since the percentage does not change when the female students are included, the percentage for the female students must be the same as the percentage for the male students.
Thus:
40% OF THE FEMALE STUDENTS must be business majors.
No way to determine the number of female students.
INSUFFICIENT.
Statement 2:
If 100% of the female students are business majors, then the total number of female students = 200.
If 50% of the female students are business majors, then the total number of female students = 400.
Since the total number of female students can be different values, INSUFFICIENT.
Statements combined:
Since the 200 female business students represent 40% of the total number of female students, we get:
200 = 0.4F
2000 = 4F
500 = F
SUFFICIENT.