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
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To celebrate a colleague's retirement, the T coworkers in an
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BTGmoderatorDC
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Jay@ManhattanReview
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Desired share from each = X/T;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
OA D
Source: GMAT Prep
The actual share of (T - S) coworkers = X/(T - S)
Additional amount by each coworker = X/(T - S) - X/T = SX/T(T - S)
The correct answer: D
Hope this helps!
-Jay
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The T coworkers in an office agreed to share equally the cost of a catered lunch.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 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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Scott@TargetTestPrep
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We are given that T coworkers agreed to equally split the payment for the cost of a lunch. We are also given that the lunch costs x dollars, and S coworkers do not pay their share.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
OA D
Source: GMAT Prep
We need to determine the ADDITIONAL AMOUNT that each coworker has to pay now.
The original cost per person for the lunch would have been x/T. Since S coworkers did not pay, the actual cost was x/(T-S). Thus, the additional amount paid was:
x/(T-S) - x/T
Getting a common denominator, which is T(T-S), we have:
T/T * x/(T-S) - (T-S)/(T-S) * (x/T)
xT/[T(T-S)] - x(T-S)/[T(T-S)]
[xT - xT + xS]/[T(T-S)]
xS/[T(T-S)]
Answer: D
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