If a total of 84 students are enrolled in two sections of a calculus course, how many of the 84 students are female?
(1) 2/3 of the students in Section 1 are female.
(2) 1/2 of the students in Section 2 are male.
OA E
Source: Official Guide
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If a total of 84 students are enrolled in two sections of a
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BTGmoderatorDC
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Jay@ManhattanReview
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Say the number of students in Section 1 is x and the number of students in Section 2 is y.BTGmoderatorDC wrote:If a total of 84 students are enrolled in two sections of a calculus course, how many of the 84 students are female?
(1) 2/3 of the students in Section 1 are female.
(2) 1/2 of the students in Section 2 are male.
OA E
Source: Official Guide
Thus, x + y = 84
Let's take each statement one by one.
(1) 2/3 of the students in Section 1 are female.
=> 2x/3 are females, but we do not know how many females are in Section 2. Insufficient.
(2) 1/2 of the students in Section 2 are male.
=> y/2 are males, thus, y/2 are females; however, we do not know how many females are in Section 1. Insufficient.
(1) and (2) together
Total number of females = 2x/3 + y/2
Even if we have the equation x + y = 84, we cannot get the value of 2x/3 + y/2. Insufficient.
The correct answer: E
Hope this helps!
-Jay
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