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

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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
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by swerve » Sat Jan 04, 2020 2:22 pm
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

d/10

new amount to be paid :
d/10-w

more amount to be paid d/10-w - d/10 = dw/10(10-w)

Therefore, __C__

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by Scott@TargetTestPrep » Wed Jan 08, 2020 7:44 pm
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

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by Scott@TargetTestPrep » Wed Jan 08, 2020 7:44 pm
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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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