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Students contribution - Equations

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Students contribution - Equations [#permalink] New post 22 Nov 2010, 01:00
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A
B
C
D
E

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Question Stats:

67% (01:50) correct 33% (00:00) wrong based on 3 sessions
The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If x of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present?
(A) y/R
(B) y/R-x
(C) xy/R-x
(D) xy/R(R-x)
(E) y/R(R-x)
[Reveal] Spoiler: OA

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Re: Students contribution - Equations [#permalink] New post 22 Nov 2010, 04:06
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Total cost of the gift : Y dollors
Total number of students : R

Hence, per head contribution : Y / R

Now, x students refuse to pay.
Hence, the amount that had to be payed by X students : X * per head contribution : X*(Y/ R)

Number of students remaining : R - X

Hence, additional per head contribution : amount that had to be payed by X students / remaining students:

XY/R(R-X)

ANS : D

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Re: Students contribution - Equations   [#permalink] 22 Nov 2010, 04:06
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