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

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

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

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