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There are 50 students enrolled in Business 101. Of the enrolled studen

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There are 50 students enrolled in Business 101. Of the enrolled studen [#permalink]

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New post 27 Oct 2017, 00:17
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There are 50 students enrolled in Business 101. Of the enrolled students, 90% took the final exam. Two-thirds of the students who took the final exam passed the final exam. How many students passed the final exam?

(A) 30
(B) 33
(C) 34
(D) 35
(E) 45
[Reveal] Spoiler: OA

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Re: There are 50 students enrolled in Business 101. Of the enrolled studen [#permalink]

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New post 27 Oct 2017, 00:26
Bunuel wrote:
There are 50 students enrolled in Business 101. Of the enrolled students, 90% took the final exam. Two-thirds of the students who took the final exam passed the final exam. How many students passed the final exam?

(A) 30
(B) 33
(C) 34
(D) 35
(E) 45


Given: Total number of students who enrolled in Business 101 - 50

Since, 90% took the final exam, \(0.9*50(45)\) students took it!
Of this number \(\frac{2}{3}\)rds passed the exam, which is \(\frac{2}{3} * 45 = 30\)

Therefore, 30 students passed the final exam(Option A)
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Re: There are 50 students enrolled in Business 101. Of the enrolled studen [#permalink]

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New post 30 Oct 2017, 14:10
Bunuel wrote:
There are 50 students enrolled in Business 101. Of the enrolled students, 90% took the final exam. Two-thirds of the students who took the final exam passed the final exam. How many students passed the final exam?

(A) 30
(B) 33
(C) 34
(D) 35
(E) 45


The number of students who passed the exam was 50 x 9/10 x 2/3 = 50 x 3/5 = 30.

Answer: A
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Kudos [?]: 902 [0], given: 5

Re: There are 50 students enrolled in Business 101. Of the enrolled studen   [#permalink] 30 Oct 2017, 14:10
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