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17 May 2024, 12:34
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
80% (00:52) correct
20% (01:07) wrong based on 5 sessions
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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
The number of people attending the game who were not students
Quantity B
9,000 - x - y
Quantity A
The number of people attending the game who were not students
Quantity B
9,000 - x - y
19 May 2024, 12:31
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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
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
07 Jul 2024, 12:17
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Official Explanation
In this question you are not told whether all of the 9,000 people attending the game were students. Let z be the number of people attending the game who were not students. The people attending the game can be broken down into three groups: students from College C, students not from College C, and people who were not students. This can be expressed algebraically as 9,000 = x + y + z, where x represents the number of students from College C attending the game and y represents the number of students attending the game who were not from College C. Therefore, 9,000 - x - y = z is the number of people attending the game who were not students.
The correct answer is Choice C.
In this question you are not told whether all of the 9,000 people attending the game were students. Let z be the number of people attending the game who were not students. The people attending the game can be broken down into three groups: students from College C, students not from College C, and people who were not students. This can be expressed algebraically as 9,000 = x + y + z, where x represents the number of students from College C attending the game and y represents the number of students attending the game who were not from College C. Therefore, 9,000 - x - y = z is the number of people attending the game who were not students.
The correct answer is Choice C.
