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10 Apr 2026, 01:17
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
31% (03:02) correct
69%
(02:43)
wrong
based on 32
sessions
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Not Attempted Yet
At Kentucky State University in Frankfort, Kentucky, there are 5 students born in Kentucky for every 3 students born in a different state, and there are half as many students born in another country as students born in a different state. All but 8 of the students born in Kentucky were born in Frankfort.
If most of the students at the university were born in Frankfort, Kentucky, which of the following could be the total number of students at the university?
I. 304
II. 342
III. 382
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only
If most of the students at the university were born in Frankfort, Kentucky, which of the following could be the total number of students at the university?
I. 304
II. 342
III. 382
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only
04 May 2026, 21:28
Kudos
Bookmarks
At Kentucky State University in Frankfort, Kentucky, there are 5 students born in Kentucky for every 3 students born in a different state, and there are half as many students born in another country as students born in a different state. All but 8 of the students born in Kentucky were born in Frankfort.
If most of the students at the university were born in Frankfort, Kentucky, which of the following could be the total number of students at the university?
Born in Kentucky : Born in Different State : Born in Another Country = 5x:3x:1.5x
All but 8 of the students born in Kentucky were born in Frankfort.
most of the students at the university were born in Frankfort
So, we have the following:
Total Students = 9.5x
5x - 8 > 4.5x + 8
I. 304
9.5x = 304
x = 32
Now, is 5x - 8 > 4.5x + 8?
160 - 8 = 144 + 8
Eliminate.
II. 342
9.5x = 342
x = 36
Now, is 5x - 8 > 4.5x + 8?
180 - 8 > 162 + 8
Keep
III. 382
9.5x = 382
x = 36 (from II) + 40/9.5
x is not an integer.
Eliminate.
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only
Correct answer: B
If most of the students at the university were born in Frankfort, Kentucky, which of the following could be the total number of students at the university?
Born in Kentucky : Born in Different State : Born in Another Country = 5x:3x:1.5x
All but 8 of the students born in Kentucky were born in Frankfort.
most of the students at the university were born in Frankfort
So, we have the following:
Total Students = 9.5x
5x - 8 > 4.5x + 8
I. 304
9.5x = 304
x = 32
Now, is 5x - 8 > 4.5x + 8?
160 - 8 = 144 + 8
Eliminate.
II. 342
9.5x = 342
x = 36
Now, is 5x - 8 > 4.5x + 8?
180 - 8 > 162 + 8
Keep
III. 382
9.5x = 382
x = 36 (from II) + 40/9.5
x is not an integer.
Eliminate.
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only
Correct answer: B
