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

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Bunuel
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Some computers at a certain company are Brand X and the rest are Brand [#permalink] New post   27 Dec 2013, 05:41
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83% (01:09) correct 17% (01:20) wrong based on 899 sessions
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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.
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Re: Some computers at a certain company are Brand X and the rest are Brand [#permalink] New post   30 Dec 2013, 05:41
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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.

Answer: D.
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Re: Some computers at a certain company are Brand X and the rest are Brand [#permalink] New post   10 Jan 2014, 11:17
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.
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Re: Some computers at a certain company are Brand X and the rest are Brand [#permalink] New post   10 Sep 2015, 14:23
I don't think this is of 650 difficulty level. Even the question statistics say so
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Re: Some computers at a certain company are Brand X and the rest are Brand [#permalink] New post   22 Dec 2015, 19:11
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 are Brand [#permalink] New post   16 Jun 2021, 05:53
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Bunuel 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.

Solution:

Question Stem Analysis:

We need to determine the number of Brand Y computers at a certain company, given that the ratio of the number of brand Y computers to the number of Brand X computers at the company is 5 to 6. That is, if let the number of Brand Y computers be y, then the number of Brand X computers is 6y / 5 (notice that y / (6y/5) = 5/6). We need to determine the value of y.

Statement One Alone:

We can create the equation:

y + 80 = 6y/5

80 = y/5

400 = y

Statement one alone is sufficient.

Statement Two Alone:

We can create the equation:

y + 6y/5 = 880

11y/5 = 880

y/5 = 80

y = 400

Statement two alone is sufficient

Answer: D
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Re: Some computers at a certain company are Brand X and the rest are Brand [#permalink] New post   09 Feb 2023, 06:24
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Re: Some computers at a certain company are Brand X and the rest are Brand [#permalink]
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