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Among the 9,000 people attending a football game at College [#permalink]
12 Dec 2015, 08:00

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Question Stats:

71% (00:37) correct
28% (00:46) wrong based on 241 sessions

Among the 9,000 people attending a football game at College C, there were x students from College C and y students who were not from College C

Quantity A

Quantity B

The number of people attending the game who were not students

9,000 − x − 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.

Practice Questions Question: 5 Page: 151 Difficulty: medium

Re: Among the 9,000 people attending a football game at College [#permalink]
09 Jun 2018, 05:36

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Expert's post

Carcass wrote:

Among the 9,000 people attending a football game atCollege C, there were x students from College C and y students who were not from College C

Quantity A

Quantity B

The number of people attending the game who were not students

9,000 − x − 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.

Practice Questions Question: 5 Page: 151 Difficulty: medium

Another approach is to use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). Here, we have a population of people watching a football game, and the two characteristics are: - from College C or not from College C - student or non student

We can set up out diagram as follows:

Since the two columns (student and non-student) must add to 9000, the SUM of the two boxes in the non-student column must = 9000 - (x + y) = 9000 - x - y

So, we get: Quantity A: 9000 - x - y Quantity B: 9000 - x - y

Answer: C

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Re: Among the 9,000 people attending a football game at College [#permalink]
09 Jul 2018, 18:33

Carcass wrote:

Among the 9,000 people attending a football game atCollege C, there were x students from College C and y students who were not from College C

Quantity A

Quantity B

The number of people attending the game who were not students

9,000 − x − 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.

Practice Questions Question: 5 Page: 151 Difficulty: medium