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.
The average weekly salary per head of the entire staff of a factory co
[#permalink]
21 Dec 2023, 06:34
21 Dec 2023, 06:34
Expert Reply
3
Bookmarks
00:00
Question Stats:
0% (00:00) correct
100% (02:53) wrong based on 3 sessions
Hide Show timer Statistics
The average weekly salary per head of the entire staff of a factory consisting only of clerks and supervisors is $120. The average weekly salary per head of the supervisors in the factory is $120 more than the average salary per head of the clerks in the factory. The total number of clerks,and supervisors is 60.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Twice the number of clerks working in the factory |
The numerical value of the average weekly salary, in dollars, of the clerks |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Part of the project: The Butler-GRE Daily New Quant and Verbal Questions to Practice (2023) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: The average weekly salary per head of the entire staff of a factory co
[#permalink]
25 Dec 2023, 04:17
25 Dec 2023, 04:17
1
The answer is C.
Let:
Number of clerks = x
Salary of clerk = a
Salary of supervisor = b
--> [ax + b(60 - x)]/60 = 120
--> ax + b(60 - x) = 7200
Also, b = 120 + a
--> ax + (120 + a)(60 - x) = 7200
--> ax + 7200 - 120x + 60a - ax = 7200
--> 60a = 120x
--> a = 2x
Let:
Number of clerks = x
Salary of clerk = a
Salary of supervisor = b
--> [ax + b(60 - x)]/60 = 120
--> ax + b(60 - x) = 7200
Also, b = 120 + a
--> ax + (120 + a)(60 - x) = 7200
--> ax + 7200 - 120x + 60a - ax = 7200
--> 60a = 120x
--> a = 2x
Re: The average weekly salary per head of the entire staff of a factory co
[#permalink]
26 Dec 2023, 21:28
26 Dec 2023, 21:28
VibhuAnurag Sir, you mean Average Salary of clerk = a , Average Salary of supervisor = b ?
