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# The average (arithmetic mean) of b bowling scores is x. When one score

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Math Expert
Joined: 02 Sep 2009
Posts: 52161
The average (arithmetic mean) of b bowling scores is x. When one score  [#permalink]

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08 Jan 2018, 00:01
00:00

Difficulty:

25% (medium)

Question Stats:

85% (01:52) correct 15% (02:28) wrong based on 48 sessions

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The average (arithmetic mean) of b bowling scores is x. When one score is discarded, the average of the remaining scores becomes y. What is the discarded score?

A. b(x – y) + y
B. b(x + y) + y
C. bx + y
D. b(x – y) – y
E. b(x – y) – 1

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Re: The average (arithmetic mean) of b bowling scores is x. When one score  [#permalink]

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08 Jan 2018, 00:51
Bunuel wrote:
The average (arithmetic mean) of b bowling scores is x. When one score is discarded, the average of the remaining scores becomes y. What is the discarded score?

A. b(x – y) + y
B. b(x + y) + y
C. bx + y
D. b(x – y) – y
E. b(x – y) – 1

Since the calculation looks straightforward, we'll just do it.
This is a Precise approach.

We'll mark the removed score by S Our equation is (bx - S)/(b-1) = y
Simplifying gives S = bx - (b-1)y = bx - by + y = b(x-y)+y

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Re: The average (arithmetic mean) of b bowling scores is x. When one score  [#permalink]

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08 Jan 2018, 04:31
Bunuel wrote:
The average (arithmetic mean) of b bowling scores is x. When one score is discarded, the average of the remaining scores becomes y. What is the discarded score?

A. b(x – y) + y
B. b(x + y) + y
C. bx + y
D. b(x – y) – y
E. b(x – y) – 1

Let, The discarded score = a

Total of b bowling scores = x*b

Total of (b-1) bowling score = (b-1)*y

So, the discarded score = x*b - (b-1)*y = b*(x-y) + y

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Re: The average (arithmetic mean) of b bowling scores is x. When one score &nbs [#permalink] 08 Jan 2018, 04:31
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