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Greta’s salary was x thousand dollars per year, then she rec
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10 Jun 2018, 03:52
10 Jun 2018, 03:52
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Question Stats:
45% (01:03) correct
54% (01:03) wrong based on 193 sessions
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Greta’s salary was \(x\) thousand dollars per year, then she received a \(y\) percent raise. Annika’s salary was \(y\) thousand dollars per year, then she received an \(x\) percent raise. \(x\) and \(y\) are positive integers.
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.
Quantity A |
Quantity B |
The dollar amount of Greta’s raise |
The dollar amount of Annika’s raise |
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: Greta’s salary was x thousand dollars per year, then she rec
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13 Jun 2018, 16:32
13 Jun 2018, 16:32
3
Expert Reply
Explanation
Because the problem never indicates real values, pick your own smart numbers. If x = 100 and y = 50, then:
Greta’s salary was $100,000 and she received a 50% raise. Greta’s raise, therefore, was $50,000.
Annika’s salary was $50,000 and she received a 100% raise. Annika’s raise, therefore, was $50,000.
The two quantities are equal. This holds true for any positive numbers chosen for x and y, because x percent of y = y percent of x. Thus, any two numbers can be used—just as 50% of 100 = 100% of 50, it is also true that 1% of 2,000 = 2,000% of 1, or a% of b = b% of a.
Hence option C
Because the problem never indicates real values, pick your own smart numbers. If x = 100 and y = 50, then:
Greta’s salary was $100,000 and she received a 50% raise. Greta’s raise, therefore, was $50,000.
Annika’s salary was $50,000 and she received a 100% raise. Annika’s raise, therefore, was $50,000.
The two quantities are equal. This holds true for any positive numbers chosen for x and y, because x percent of y = y percent of x. Thus, any two numbers can be used—just as 50% of 100 = 100% of 50, it is also true that 1% of 2,000 = 2,000% of 1, or a% of b = b% of a.
Hence option C
Re: Greta’s salary was x thousand dollars per year, then she rec
[#permalink]
13 Jun 2018, 17:50
13 Jun 2018, 17:50
2
x, y >= 1, integer
Quantity A = xy%
Quantity B = yx%
--> A = B
Keys: C
Quantity A = xy%
Quantity B = yx%
--> A = B
Keys: C
