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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 21 Jan 2007, 11:10
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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
Intern
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Re: Algebra [#permalink] New post 21 Jan 2007, 12:04
you want to find what percent 10 is. subtract all given from 1, = 1/20.
==> total 200 as 120th is 10.
cucrose 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
Intern
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Joined: 29 Oct 2006
Posts: 34
Location: India
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Re: Algebra [#permalink] New post 22 Jan 2007, 03:04
cucrose 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


Assume that the total number of students in the course is 'x'.

According to the given conditions, the total number of students who received:

- A's = x(1/5) = x/5
- B's = x(1/4) = x/4
- C's = x(1/2) = x/2
- D's = 10

Therefore, x/5 + x/4 + x/2 + 10 = x

<=> x - (19/20)x = 10
<=> x/20 = 10
<=> x = 200

The answer is D.
Re: Algebra   [#permalink] 22 Jan 2007, 03:04
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