EBITDA wrote:

C individuals pledged to pay equal contributions so that a charity’s goal of $x could be reached. If d of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to allow the charity to reach its goal?

A) dx / C

B) x / (C-d)

C) d / (C-dx)

D) x / (C(C-d))

E) dx / (C(C-d))

Had all C individuals paid their contributions, each would have paid x/C dollars. Since d of them failed to pay theirs, each of the remaining individuals would now have to pay x/(C - d) dollars. Thus, the difference in the number of dollars contributed by each person is:

x/(C - d) - x/C

Obtaining the common denominator C(C - d), we have:

xC/[C(C - d)] - x(C - d)/[C(C - d)]

[xC - x(C - d)]/[C(C - d)]

(xC - xC + xd)/[C(C - d)]

xd/[C(C - d)]

Answer: E

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