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 amoun, 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

The correct one is d) and I event guessed it right , but guessing is a dangerous thingy in this business... Thank you!