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Company H distributed $4,000 and 180 pencils evenly among its employee

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Company H distributed $4,000 and 180 pencils evenly among its employee  [#permalink]

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New post 13 Aug 2018, 04:51
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Company H distributed $4,000 and 180 pencils evenly among its employees, with each employee getting an equal integer number of dollars and an equal integer number of pencils. What is the greatest number of employees that could work for company H?

(A) 9
(B) 10
(C) 20
(D) 40
(E) 180

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Re: Company H distributed $4,000 and 180 pencils evenly among its employee  [#permalink]

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New post 13 Aug 2018, 07:40
Bunuel wrote:
Company H distributed $4,000 and 180 pencils evenly among its employees, with each employee getting an equal integer number of dollars and an equal integer number of pencils. What is the greatest number of employees that could work for company H?

(A) 9
(B) 10
(C) 20
(D) 40
(E) 180

HCF (4000,180) = 20 , Answer must be (C)
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Re: Company H distributed $4,000 and 180 pencils evenly among its employee  [#permalink]

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New post 13 Aug 2018, 08:21
Bunuel wrote:
Company H distributed $4,000 and 180 pencils evenly among its employees, with each employee getting an equal integer number of dollars and an equal integer number of pencils. What is the greatest number of employees that could work for company H?

(A) 9
(B) 10
(C) 20
(D) 40
(E) 180


The greatest # of employees is the HCF of 4000 & 180.

Checking the answer choices, we get 20 as the greatest # that is a factor of both 4000 & 180.

Answer C.


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GyM
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Re: Company H distributed $4,000 and 180 pencils evenly among its employee  [#permalink]

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New post 18 Aug 2018, 19:28
Bunuel wrote:
Company H distributed $4,000 and 180 pencils evenly among its employees, with each employee getting an equal integer number of dollars and an equal integer number of pencils. What is the greatest number of employees that could work for company H?

(A) 9
(B) 10
(C) 20
(D) 40
(E) 180



We need to determine the greatest common factor of 4,000 and 180.

Since 4,000 and 180 are divisible by 20 but not 40 nor 180 ,we see that the greatest common factor of 4,000 and 180 is 20.

Answer: C
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Re: Company H distributed $4,000 and 180 pencils evenly among its employee   [#permalink] 18 Aug 2018, 19:28
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