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Of the final grades received by the students in a certain

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Of the final grades received by the students in a certain [#permalink] New post 26 Dec 2012, 06:04
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Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 10 grades are D's. What is the number of students in the course?

(A) 80
(B) 110
(C) 160
(D) 200
(E) 400
[Reveal] Spoiler: OA
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Re: Of the final grades received by the students in a certain [#permalink] New post 26 Dec 2012, 06:08
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Expert's post
Walkabout wrote:
Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 10 grades are D's. What is the number of students in the course?

(A) 80
(B) 110
(C) 160
(D) 200
(E) 400


1/5+1/4+1/2=19/20 of the grades are A, B, or C.

Thus the remaining 10 grades represent 1/20 of the grades. Theretofore there are 20*10=200 students.

Answer: D.
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Re: Of the final grades received by the students in a certain [#permalink] New post 17 Mar 2014, 22:00
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Let total number of students be t.

Then
1/5t + 1/4t + 1/2t + 10 = t
solve
10 = t - 1/5t - 1/4t - 1/2t
10 = 1/20t
200 = t

Answer D.
Re: Of the final grades received by the students in a certain   [#permalink] 17 Mar 2014, 22:00
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