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A group of 7 boys are playing a game, 3 of the boys averaged scores of

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A group of 7 boys are playing a game, 3 of the boys averaged scores of [#permalink]

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New post 10 May 2017, 01:25
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A group of 7 boys are playing a game, 3 of the boys averaged scores of x points. The other 4 boys averaged scores of y points. Which of the following represents the average (arithmetic mean) score of all the boys?

A. 7/(3x + 4y)

B. (x + y)/7

C. (3x + 4y)/(7xy)

D. (3x + 4y)/7

E. 7x/(x + y)
[Reveal] Spoiler: OA

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Re: A group of 7 boys are playing a game, 3 of the boys averaged scores of [#permalink]

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New post 10 May 2017, 02:29
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Total points of 1st group: 3x
Total points of 2nd group: 4y
Combined value of points: 3x+4y
Now, Average= Total value/Total candidates i.e \(\frac{(3x+4y)}{7}\)
Hence, Option D should be the correct answer.

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Re: A group of 7 boys are playing a game, 3 of the boys averaged scores of [#permalink]

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New post 10 May 2017, 08:51
absolute sitter..
(3x + 4y)/7

option D
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A group of 7 boys are playing a game, 3 of the boys averaged scores of [#permalink]

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New post 11 May 2017, 09:15
Bunuel wrote:
A group of 7 boys are playing a game, 3 of the boys averaged scores of x points. The other 4 boys averaged scores of y points. Which of the following represents the average (arithmetic mean) score of all the boys?

A. 7/(3x + 4y)

B. (x + y)/7

C. (3x + 4y)/(7xy)

D. (3x + 4y)/7

E. 7x/(x + y)


I got D, but to check I plugged in numbers.

Chose x = 21 and y= 7

(Wanted total to be divisible by 7, and one variable to be weighted much more heavily than other.)

(3*21) + (4*7) = 91
91/7 = 13
Plugged x=21 and y=7 into D, got 13. Correct.
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Re: A group of 7 boys are playing a game, 3 of the boys averaged scores of [#permalink]

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New post 12 May 2017, 03:52
Bunuel wrote:
A group of 7 boys are playing a game, 3 of the boys averaged scores of x points. The other 4 boys averaged scores of y points. Which of the following represents the average (arithmetic mean) score of all the boys?

A. 7/(3x + 4y)

B. (x + y)/7

C. (3x + 4y)/(7xy)

D. (3x + 4y)/7

E. 7x/(x + y)


3 boys averaged score of x points. So total score of 3 boys = 3x
4 boys averaged score of y points. So total score of 4 boys = 4y
Total no. of boys = 7

Average (Arithematic mean) score of all the boys = (3x+4y)/7

[Reveal] Spoiler:
Answer D

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Re: A group of 7 boys are playing a game, 3 of the boys averaged scores of [#permalink]

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New post 12 May 2017, 12:39
Bunuel wrote:
A group of 7 boys are playing a game, 3 of the boys averaged scores of x points. The other 4 boys averaged scores of y points. Which of the following represents the average (arithmetic mean) score of all the boys?

A. 7/(3x + 4y)

B. (x + y)/7

C. (3x + 4y)/(7xy)

D. (3x + 4y)/7

E. 7x/(x + y)


Recall that average = sum / quantity. Since the average of the 3 boys is x points, the sum of the points for the 3 boys is 3x. Similarly, since the average of the 4 boys is y points, their sum is 4y. In total, the 7 boys scored 3x + 4y points. Since there are 7 boys in total, we can create the following weighted average equation:

(3x + 4y)/7

Answer: D
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Re: A group of 7 boys are playing a game, 3 of the boys averaged scores of   [#permalink] 12 May 2017, 12:39
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