GRE Prep Club Daily Prep
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
To celebrate a colleague's retirement, the T coworkers in an office ag
[#permalink]
24 Jan 2022, 10:10
24 Jan 2022, 10:10
Expert Reply
1
Bookmarks
00:00
Question Stats:
75% (01:03) correct
25% (03:11) wrong based on 4 sessions
Hide Show timer Statistics
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
A. x/T
B. x/(T-S)
C. Sx/(T-S)
D. Sx/T(T-S)
E. x(T-S)/T
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: To celebrate a colleague's retirement, the T coworkers in an office ag
[#permalink]
24 Jan 2022, 10:18
24 Jan 2022, 10:18
1
Carcass 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
A. x/T
B. x/(T-S)
C. Sx/(T-S)
D. Sx/T(T-S)
E. x(T-S)/T
The PLAN was for T coworkers to share the cost of lunch, which costs x dollars
So, each coworker was supposed to pay x/T dollars
In REALITY, S coworkers failed to pay, which means the total number of coworkers who are paying = T - S
So, in reality, each of the T - S coworkers had to pay x/(T-S) dollars
So, the ADDITIONAL amount each coworker paid = x/(T-S) - x/T
Check the answer choices..... x/(T-S) - x/T is not among them.
Looks like we need to combine the two fractions by first rewriting them with a common denominator as follows:
x/(T-S) - x/T = (x)(T)/(T-S)(T) - (x)(T-S)/(T-S)(T)
= xT/(T-S)(T) - (xT - xS)/(T-S)(T)
= xS/(T-S)(T)
Answer: D
gmatclubot
Re: To celebrate a colleague's retirement, the T coworkers in an office ag [#permalink]
24 Jan 2022, 10:18
Moderators:
