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# The total number of printers and computers at a certain company is 36.

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Math Expert
Joined: 02 Sep 2009
Posts: 56303
The total number of printers and computers at a certain company is 36.  [#permalink]

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07 Nov 2017, 23:33
00:00

Difficulty:

15% (low)

Question Stats:

82% (00:43) correct 18% (01:03) wrong based on 81 sessions

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The total number of printers and computers at a certain company is 36. How many printers does the company have?

(1) The ratio of the number of the company's printers to the number of its computers is 5 to 7.

(2) The company has 6 more computers than printers.

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Joined: 22 May 2017
Posts: 87
GMAT 1: 580 Q41 V29
GMAT 2: 580 Q43 V27
Re: The total number of printers and computers at a certain company is 36.  [#permalink]

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12 Nov 2017, 21:35
Bunuel wrote:
The total number of printers and computers at a certain company is 36. How many printers does the company have?

(1) The ratio of the number of the company's printers to the number of its computers is 5 to 7.

(2) The company has 6 more computers than printers.

Statement 1 calculate the common factor 5x+7x=36, x=3, then calculate printer 15.

Statement 2 can't able to calculate printer.
Math Expert
Joined: 02 Aug 2009
Posts: 7764
The total number of printers and computers at a certain company is 36.  [#permalink]

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12 Nov 2017, 21:51
Bunuel wrote:
The total number of printers and computers at a certain company is 36. How many printers does the company have?

(1) The ratio of the number of the company's printers to the number of its computers is 5 to 7.

(2) The company has 6 more computers than printers.

Statement 2 can't able to calculate printer.

Hi..
ANS would be D..

P+C=36

Statement I gives us the ratio of two so suff
P/C=5/7....P=5C/7..
Substitute in Original to get answers
5C/7 + C=36
12C=36*7.....C=21 and P=15
Suff

Statement II
C=P+6
Again substitute in Original
P+6+P=36.....P=15 and C=21
Suff

D
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Joined: 22 May 2017
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GMAT 1: 580 Q41 V29
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Re: The total number of printers and computers at a certain company is 36.  [#permalink]

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13 Nov 2017, 02:06
Bunuel wrote:
The total number of printers and computers at a certain company is 36. How many printers does the company have?

(1) The ratio of the number of the company's printers to the number of its computers is 5 to 7.

(2) The company has 6 more computers than printers.

Statement 1 calculate the common factor 5x+7x=36, x=3, then calculate printer 15.

Statement 2 can't able to calculate printer.

Statement 2 also leads to a solution.

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Location: India
Concentration: General Management, Strategy
GMAT 1: 580 Q41 V28
GPA: 3.8
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Re: The total number of printers and computers at a certain company is 36.  [#permalink]

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14 Nov 2017, 09:46
Let say, P+C =36

1) P/C =5/7 => P=5C/7 , Substituting we can get the value of P & C, SUFFICIENT

2) C=P+6 , Substituting we can get the value of P&C, SUFFICENT

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Re: The total number of printers and computers at a certain company is 36.  [#permalink]

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23 Dec 2018, 09:46
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Re: The total number of printers and computers at a certain company is 36.   [#permalink] 23 Dec 2018, 09:46
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