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The celebrate a colleague's retirement, the T coworks in an

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Senior Manager
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The celebrate a colleague's retirement, the T coworks in an [#permalink] New post 24 Oct 2005, 21:57
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A
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D
E

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The celebrate a colleague's retirement, the T coworks in an office agreed to share equally the cost of a catered lunch. If the lunch costs a total of x dollars and S of the coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworks would have to contribute so that the cost of the lunch is completely paid?

a) x/T
b) x/(T-S)
c) Sx/(T-S)
d) Sx/T(T-s)
e) x(T-S)/T
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Re: PS - GPrep - Dead beats [#permalink] New post 24 Oct 2005, 22:01
rigger wrote:
The celebrate a colleague's retirement, the T coworks in an office agreed to share equally the cost of a catered lunch. If the lunch costs a total of x dollars and S of the coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworks would have to contribute so that the cost of the lunch is completely paid?

a) x/T
b) x/(T-S)
c) Sx/(T-S)
d) Sx/T(T-s)
e) x(T-S)/T


So everyone was paying up X/T but now S are not paying, so amount that has to be paid is XS/T. And it has to be paid by T-S so
XS/T(T-S).
So D.
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 [#permalink] New post 24 Oct 2005, 22:09
I got D.

If everyone paid their part, each of T co-workers would have paid x/T.
However only (T-S) have paid resulting in a payment of (x/T)(T-S) or x - xS/T

In other words , xS/T is the amount left unpaid due to the S guys. This amount now needs to be shared by the poor (T-S) coworkers. So the additional amount the remaining coworkers end up paying is (xS/T)/(T-S) or Sx/T(T-S)
  [#permalink] 24 Oct 2005, 22:09
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