BTGmoderatorDC wrote:The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If x of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present?
(A) y/R
(B) y/(R-x)
(C) xy/(R-x)
(D) xy/(R(R-x))
(E) y/(R(R-x))
Let y=$10 and R=10 students, with the result that the original share per student = ($10)/(10 students) = $1.
Let x=9, implying that the number of students decreases by 9 to 1.
New share per student = ($10)/(1 student) = $10.
Increase in share per student = 10-1 = $9.
The correct answer must yield $9 when y=10, R=10 and x=9.
Only D works:
xy/(R(R-x)) = (9*10)/(10(10-9)) = 90/10 = 9.
The correct answer is
D.
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