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The average price of a home County X is 250,000. The average [#permalink]
24 Oct 2017, 01:02

00:00

Question Stats:

80% (00:27) correct
20% (00:41) wrong based on 15 sessions

The average price of a home County X is 250,000. The average price of a home in County Y is 300,000. The average price of a home in both County X and Y is 265,000.

Quantity A

Quantity B

The number homes in County X

The number homes in County Y

A. The quantity in Column A is greater B. The quantity in Column B is greater C. The two quantities are equal D. The relationship cannot be determined from the information given

Re: The average price of a home County X is 250,000. The average [#permalink]
25 Oct 2017, 07:59

2

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The information above can be translated into \(\frac{250,000x + 300,000y}{x+y} = 265,000\). Solving we get \(x = \frac{7}{3}y\). Since 7/3 is greater than 1, x is greater than y.

Re: The average price of a home County X is 250,000. The average [#permalink]
02 Mar 2018, 19:54

1

This post received KUDOS

With a glance in the average of two counties, we consider the average is nearer to county X so it's number of houses are more while it has more influence on the average. also: average = X * 250000 + Y * 300000 / (X + Y ) = 265000 so:X * 250000 + Y * 300000 = X * 265000 + Y * 265000 35000Y = 15000X so X is bigger. A is correct.
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Re: The average price of a home County X is 250,000. The average [#permalink]
04 Mar 2018, 01:02

IlCreatore wrote:

The information above can be translated into \(\frac{250,000x + 300,000y}{x+y} = 265,000\). Solving we get \(x = \frac{7}{3}y\). Since 7/3 is greater than 1, x is greater than y.

Answer A

good one, especially the 7/3 > x part
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Re: The average price of a home County X is 250,000. The average
[#permalink]
04 Mar 2018, 01:02