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The average weekly salary per head of the entire staff of a factory co

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The average weekly salary per head of the entire staff of a factory co [#permalink] New post   21 Dec 2023, 06:34
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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.


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.



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C
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VibhuAnurag
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Re: The average weekly salary per head of the entire staff of a factory co [#permalink] New post   25 Dec 2023, 04:17
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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
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Re: The average weekly salary per head of the entire staff of a factory co [#permalink] New post   26 Dec 2023, 21:28
VibhuAnurag Sir, you mean Average Salary of clerk = a , Average Salary of supervisor = b ?
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Re: The average weekly salary per head of the entire staff of a factory co [#permalink] New post   27 Dec 2023, 04:28
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YB114 wrote:
VibhuAnurag Sir, you mean Average Salary of clerk = a , Average Salary of supervisor = b ?


That is correct.
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Re: The average weekly salary per head of the entire staff of a factory co [#permalink]
27 Dec 2023, 04:28
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