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A student has test scores of 85, x, and y, respectively, and

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A student has test scores of 85, x, and y, respectively, and [#permalink] New post 10 Jun 2018, 08:25
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A student has test scores of 85, x, and y, respectively, and an average (arithmetic mean) score of 95 on the three tests.

Quantity A
Quantity B
The average (arithmetic mean) of x and y
100


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.
[Reveal] Spoiler: OA

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Re: A student has test scores of 85, x, and y, respectively, and [#permalink] New post 11 Jun 2018, 11:13
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Carcass wrote:
A student has test scores of 85, x, and y, respectively, and an average (arithmetic mean) score of 95 on the three tests.

Quantity A
Quantity B
The average (arithmetic mean) of x and y
100


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.



80+x+y / 3 = 95

=> 80+x+y = 285
=> x+y = 200
=> x+y / 2 = 100.

Col A and B are same.

C.
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Re: A student has test scores of 85, x, and y, respectively, and [#permalink] New post 13 Jun 2018, 17:48
We have:
Sum = 95*3 = 85 + x + y --> x + y = 95*3 - 85 = 200
Quantity A = (x + y)/2 = (200)/2 = 100 = Quantity B

Keys: C
Re: A student has test scores of 85, x, and y, respectively, and   [#permalink] 13 Jun 2018, 17:48
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A student has test scores of 85, x, and y, respectively, and

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