BTGmoderatorDC wrote: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
The T coworkers in an office agreed to share equally the cost of a catered lunch.
The lunch costs a total of X dollars.
Let X=5 and T=5, implying that the original cost per worker = 5/5 = $1.
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?
Let S=4, with the result that the 1 remaining worker must pay the entire $5.
Since the share for the 1 remaining worker increases from $1 to $5 -- an increase of $4 -- the correct answer must yield 4 when X=5, T=5 and S=4.
Only D works:
SX/T(T-S) = (4*5)/(5 * 5-4) = 4
The correct answer is
D.
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