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

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Math Expert
Joined: 02 Sep 2009
Posts: 56257
Company H distributed \$4,000 and 180 pencils evenly among its employee  [#permalink]

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13 Aug 2018, 04:51
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Difficulty:

15% (low)

Question Stats:

85% (01:34) correct 15% (01:48) wrong based on 55 sessions

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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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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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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.

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

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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.

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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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