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Of the patrons of Club A, 25 percent are also patrons of Club B. Of th
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02 Oct 2023, 13:22
02 Oct 2023, 13:22
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Of the patrons of Club A, 25 percent are also patrons of Club B. Of the patrons of Club B, 40 percent are also patrons of Club A
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Number of patrons of Club A |
Number of patrons of Club B |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: Of the patrons of Club A, 25 percent are also patrons of Club B. Of th
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06 Oct 2023, 14:52
06 Oct 2023, 14:52
1
Do we have an explanation for this? I worked through the problem a few times and keep getting D. My calculations show the number of patrons in each club is needed to come to a conclusion. Is my logic incorrect?
a ; number of patrons in Club A
b ; number of patrons in Club B
Total Club A = a + (4/10)(b)
Total Club B = b + (1/4)(a)
We don't know the values of a or b
a ; number of patrons in Club A
b ; number of patrons in Club B
Total Club A = a + (4/10)(b)
Total Club B = b + (1/4)(a)
We don't know the values of a or b
Re: Of the patrons of Club A, 25 percent are also patrons of Club B. Of th
[#permalink]
08 Nov 2023, 13:27
08 Nov 2023, 13:27
1
Let y be the number of patrons of Club A.
Let x be the number of patrons of Club B.
From the text, we can deduce that y/4=2x/5
Meaning that y=8x/5
Since QA is y, we replace it with 8x/5
subtract the x they have in common and it becomes:
QA: 3x/5 QB: 0
Although the GRE would specify that there is at least 1 patron in each club, I believe here it is implied - meaning that the answer is A.
However, the proper answer is D - since it could be the case that no one frequents Club A or B.
This is a valid case because everything in the stem holds true:
If 0 people frequented club A, and 0 people frequented club B, 25% of 0 is 0, and 40% of 0 is 0.
Let x be the number of patrons of Club B.
From the text, we can deduce that y/4=2x/5
Meaning that y=8x/5
Since QA is y, we replace it with 8x/5
subtract the x they have in common and it becomes:
QA: 3x/5 QB: 0
Although the GRE would specify that there is at least 1 patron in each club, I believe here it is implied - meaning that the answer is A.
However, the proper answer is D - since it could be the case that no one frequents Club A or B.
This is a valid case because everything in the stem holds true:
If 0 people frequented club A, and 0 people frequented club B, 25% of 0 is 0, and 40% of 0 is 0.
