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 P 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?	Choose the correct choice from the following
A) P/T	B) P/(T-S)	C) SP/(T-S)	D) SP/T(T-S)	E) P(T-S)/T
Since no absolute values are given in the question we can replace the given parameters with assumed numbers,   Let Total colleagues be 100 (T)   Let total contribution be 700 (P) (point to note is that its total cost not per person)   Those who dont pay are S (30)   Per person cost = P/T = 700/100= 
<gadget id="calculator">700/100</gadget>
<output>7</output>
7   So cost for those who failed to pay= (P/T) * S = SP/T = 30*7= 
<gadget id="calculator">30*7</gadget>
<output>210</output>
210   The equation for people who would bear the total cost after S people fail= (T-S)=70   There fore the solution is (SP/T)/ (T-S) = SP/T(T-S) = 210/70   Answer SP/T(T-S)   Hope this helps !!!
<result>D</result>
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 P 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?