To celebrate a colleague's retirement, the T coworkers in an office agreed to share equally the cost of a catered lunch.

[BTGmoderatorDC]

To celebrate a colleague's retirement, the T coworkers 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 coworkers 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



OA D

Source: GMAT Prep

[Jay@ManhattanReview]

To celebrate a colleague's retirement, the T coworkers 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 coworkers 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

OA D

Source: GMAT Prep

Had each of the T coworkers paid equally, each share would have been $(x/T);

Since S of the coworkers fail to pay their share, each would have to pay $[x/(T–S)]

The additional amount, in dollars, that each of the remaining coworkers would have to contribute

= x/T – x/(T–S) = x[1/(T–S) – 1/T) = $[xS/T(T – S)]

Correct answer: D

Hope this helps!

-Jay
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