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The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars...

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by BTGmoderatorLU » Thu Oct 01, 2020 2:32 pm

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Source: Princeton Review

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))

The OA is D
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Source: — Problem Solving |

BTGmoderatorLU wrote:
Thu Oct 01, 2020 2:32 pm


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))

The OA is D
Solution:

The original amount of money paid is y/R

The new amount of money paid is y/(R - x)

The difference is:

y/(R - x) - y/R

yR/[R(R-x)] - y(R-x)/[R(R-x)]

(yR- yR + yx)/[R(R-x)]

yx/[R(R-x)]

Answer: D

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