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# Some computers at a certain company are Brand X and the rest

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Math Expert
Joined: 02 Sep 2009
Posts: 53063
Some computers at a certain company are Brand X and the rest  [#permalink]

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27 Dec 2013, 04:41
00:00

Difficulty:

5% (low)

Question Stats:

82% (01:11) correct 18% (01:22) wrong based on 585 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

Some computers at a certain company are Brand X and the rest are Brand Y. If the ratio of the number of Brand Y computers to the number of Brand X computers at the company is 5 to 6, how many of the computers are Brand Y?

(1) There are 80 more Brand X computers than Brand Y computers at the company.
(2) There is a total of 880 computers at the company.

Data Sufficiency
Question: 9
Category: Algebra Simultaneous equations
Page: 153
Difficulty: 650

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Re: Some computers at a certain company are Brand X and the rest  [#permalink]

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30 Dec 2013, 04:41
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SOLUTION

Some computers at a certain company are Brand X and the rest are Brand Y. If the ratio of the number of Brand Y computers to the number of Brand X computers at the company is 5 to 6, how many of the computers are Brand Y?

Given that $$\frac{y}{x}=\frac{5}{6}$$ we need to find the value of y.

(1) There are 80 more Brand X computers than Brand Y computers at the company --> $$x = 80 + y$$. We have two distinct linear equations ($$\frac{y}{x}=\frac{5}{6}$$ and $$x = 80 + y$$) with two unknowns, thus we can solve for both. Sufficient.

(2) There is a total of 880 computers at the company --> $$x + y=880$$. We have two distinct linear equations ($$\frac{y}{x}=\frac{5}{6}$$ and $$x + y=880$$) with two unknowns, thus we can solve for both. Sufficient.

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Joined: 12 Jan 2013
Posts: 147
Some computers at a certain company are Brand X and the rest are  [#permalink]

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10 Jan 2014, 10:17
albany09 wrote:
Some computers at a certain company are Brand X and the rest are Brand Y. If the ratio of the number of Brand Y computers to the number of Brand X computers at the company is 5 to 6, how many of the computers are Brand Y ?
(1) There are 80 more Brand X computers than Brand Y computers at the company.
(2) There is a total of 880 computers at the company.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficien

We're given: X + Y = Total Computers and 5Y = 6X, with this we can solve for X or for Y.. SO, we only need to solve for ONE variable to answer the question

1) Solves for X and Y given our second equation. Thus, this is sufficient.
2) Solves for TC, thus, this is sufficient since we have a fixed relation between the # of X to Y computers.

So, the answer is D.
Manager
Joined: 18 Aug 2006
Posts: 85
Location: United States
WE: Consulting (Telecommunications)
Re: Some computers at a certain company are Brand X and the rest  [#permalink]

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10 Sep 2015, 13:23
I don't think this is of 650 difficulty level. Even the question statistics say so
Ryerson (Ted Rogers) Thread Master
Joined: 27 Sep 2015
Posts: 57
GMAT 1: 410 Q33 V13
WE: Management Consulting (Computer Software)
Re: Some computers at a certain company are Brand X and the rest are Brand  [#permalink]

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22 Dec 2015, 18:11
Given Y:X = 5:6

Y = 5x/6

Statement I:

x-80 = y
y = 5(y+80)/6 = 400 Sufficient

Statement II:

y = 5(880-y)/6 Sufficient.

Correct answer is D.
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Re: Some computers at a certain company are Brand X and the rest  [#permalink]

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11 Oct 2018, 15:18
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Re: Some computers at a certain company are Brand X and the rest   [#permalink] 11 Oct 2018, 15:18
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# Some computers at a certain company are Brand X and the rest

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