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To celebrate a colleague's retirement, the T coworkers in an office [#permalink]

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08 Mar 2010, 00:42

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62% (02:17) correct
38% (01:19) wrong based on 225 sessions

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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]

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08 Mar 2010, 00:52

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This post received KUDOS

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]

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12 Mar 2010, 09:31

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]

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15 Mar 2010, 08:35

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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]

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07 Dec 2012, 20:33

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]

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07 Dec 2012, 20:51

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]

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08 Dec 2012, 05:18

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]

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08 Dec 2012, 05:51

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]

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11 Jan 2015, 15:30

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

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Re: To celebrate a colleague's retirement, the T coworkers [#permalink]

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