Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

To celebrate a colleague's retirement, the T coworkers in an office [#permalink]
07 Mar 2010, 23:42

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

65% (02:10) correct
35% (01:21) wrong based on 121 sessions

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

Re: To celebrate a colleague's retirement, the T coworkers in an office [#permalink]
07 Mar 2010, 23:52

vakuts wrote:

Hi everyone,

I am struggling with this problem from GMATPrep test:

To celebrate a colleauge's retirement, T coworkers in an office agreed to share equally the cost of catered lunch. If lunch costs X dollars and S of 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 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

Re: To celebrate a colleague's retirement, the T coworkers in an office [#permalink]
12 Mar 2010, 08:31

vakuts wrote:

Hi everyone,

I am struggling with this problem from GMATPrep test:

To celebrate a colleauge's retirement, T coworkers in an office agreed to share equally the cost of catered lunch. If lunch costs X dollars and S of 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 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

Re: To celebrate a colleague's retirement, the T coworkers in an office [#permalink]
15 Mar 2010, 07:35

2

This post received KUDOS

Answer is D XS/T(T-S) Originally everyone has to pay = X/T when s people failed to pay each remaining person has to pay = X/(T-S) so additional amt = X/(T-S) - X/T = XS/T(T-S) _________________

To celebrate a colleague's retirement, the T coworkers [#permalink]
07 Dec 2012, 19:33

1

This post was BOOKMARKED

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

Re: To celebrate a colleague's retirement, the T coworkers [#permalink]
07 Dec 2012, 19:51

Expert's post

apoorvarora 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

Initial BURDEN on each coworker--->Total cost/ Number of Coworkers

or \(X/T\)

Now, when S coworkers are not paying their share, naturally the BURDEN on each coworker will increase in they have to raise their share in the total cost. S are not paying their share, so # of coworkers who are willing to pay= T-S

Final BURDEN on each coworker----->Total cost/(T-S)

or \(X/(T-S)\)

Subtract the smaller from the larger.

\(X/(T-S) - X/T\) = \(XS/[T*(T-S)]\) . Hope that helps. _________________

Re: To celebrate a colleague's retirement, the T coworkers [#permalink]
08 Dec 2012, 04:18

apoorvarora 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

I went with substitution method... I replaced variables with values for easy calculations

let T =10 X= 200 s =2

Actual each person share 200/10 = 20

But 2 members didnt pay , so 8 members (T-S) would have paid the balance... 200/8 =25

25-20 = 5 Only choice D gives value same value.. _________________

GMAT - Practice, Patience, Persistence Kudos if u like

Re: To celebrate a colleague's retirement, the T coworkers [#permalink]
08 Dec 2012, 04:51

Expert's post

1

This post was BOOKMARKED

apoorvarora 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

Pick some smart numbers.

Let T=3, x=$3 and S=2.

So, we'd have that originally 3 coworkers were to pay $1 each for $3 lunch but 2 coworkers fail to pay, thus the remaining worker should pay additional $2 to cover the cost of the lunch.

Now, substitute T=3, x=$3 and S=2 into the answers to see which yields $2. Only answer D works.

Re: To celebrate a colleague's retirement, the T coworkers [#permalink]
11 Jan 2015, 14:30

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Re: To celebrate a colleague's retirement, the T coworkers in an office [#permalink]
08 Feb 2015, 14:33

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Type of Visa: You will be applying for a Non-Immigrant F-1 (Student) US Visa. Applying for a Visa: Create an account on: https://cgifederal.secure.force.com/?language=Englishcountry=India Complete...