A group of 10 coworkers has agreed to equally share the cost

AAPL wrote:GMAT Paper Tests

A group of 10 coworkers has agreed to equally share the cost of a gift costing d dollars. If w of the coworkers later decide not to contribute, how much more must each of the remaining coworkers pay toward the gift?

A. \(\frac{d}{10-w}\)
B. \(\frac{d(w-10)}{10w}\)
C. \(\frac{dw}{10(10-w)}\)
D. \(\frac{10-w}{d}\)
E. \(\frac{10dw}{10-w}\)

OA C

The original amount paid by each coworker was d/10. After w of the coworkers did not pay for the gift, the new amount that each coworker had to pay became d/(10 - w). Thus, the additional amount that each coworker now had to pay was:

d/(10 - w) - d/10

10d/[10(10-w)] - d(10 - w)/[10(10-w)]

(10d - 10d + wd)/[10(10-w)]

wd/[10(10 - w)]

Answer: C

AAPL wrote:GMAT Paper Tests

A group of 10 coworkers has agreed to equally share the cost of a gift costing d dollars. If w of the coworkers later decide not to contribute, how much more must each of the remaining coworkers pay toward the gift?

A. \(\frac{d}{10-w}\)
B. \(\frac{d(w-10)}{10w}\)
C. \(\frac{dw}{10(10-w)}\)
D. \(\frac{10-w}{d}\)
E. \(\frac{10dw}{10-w}\)

OA C

The original amount paid by each coworker was d/10. After w of the coworkers did not pay for the gift, the new amount that each coworker had to pay became d/(10 - w). Thus, the additional amount that each coworker now had to pay was:

d/(10 - w) - d/10

10d/[10(10-w)] - d(10 - w)/[10(10-w)]

(10d - 10d + wd)/[10(10-w)]

wd/[10(10 - w)]

Answer: C