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

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Math Expert
Joined: 02 Sep 2009
Posts: 49985
There are 50 students enrolled in Business 101. Of the enrolled studen  [#permalink]

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27 Oct 2017, 00:17
00:00

Difficulty:

5% (low)

Question Stats:

96% (00:43) correct 4% (00:33) wrong based on 81 sessions

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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

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Posts: 3178
Location: India
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Re: There are 50 students enrolled in Business 101. Of the enrolled studen  [#permalink]

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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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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.

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