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Paul's average bowling score for a series was 164 and Dave's was 158

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Paul's average bowling score for a series was 164 and Dave's was 158 [#permalink]

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New post 12 Mar 2017, 10:41
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Question Stats:

82% (00:43) correct 18% (01:06) wrong based on 50 sessions

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Paul's average bowling score for a series was 164 and Dave's was 158. If each of them bowled 4 games, how much greater was Paul's total score for the series than Dave's score?

(A) 6
(B) 12
(C) 18
(D) 24
(E) It cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: Paul's average bowling score for a series was 164 and Dave's was 158 [#permalink]

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New post 15 Mar 2017, 15:51
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HKD1710 wrote:
Paul's average bowling score for a series was 164 and Dave's was 158. If each of them bowled 4 games, how much greater was Paul's total score for the series than Dave's score?

(A) 6
(B) 12
(C) 18
(D) 24
(E) It cannot be determined from the information given.


Since sum = average x quantity, Paul’s total score was 164 x 4 and Dave’s total score was 158 x 4.

Thus, Paul’s total score was 164 x 4 - 158 x 4 = 4(164 - 158) = 4 x 6 = 24 points greater than Dave’s.

Answer: D
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Re: Paul's average bowling score for a series was 164 and Dave's was 158 [#permalink]

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New post 28 Nov 2017, 12:24
Hi All,

There are a couple of different ways to handle the 'math' in this question (and some take a bit longer than others). The 'shortcut' here is that you can determine the difference in TOTAL scores by simply comparing the averages and then multiply by the number of games.

Since Paul's average score was 164 and Dave's average score was 158, Paul beat dave by an average of 6 points EACH game. Since they each bowled 4 games, the difference in TOTAL scores for each would be (6)(4) = 24 points.

Final Answer:
[Reveal] Spoiler:
D


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Re: Paul's average bowling score for a series was 164 and Dave's was 158   [#permalink] 28 Nov 2017, 12:24
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Paul's average bowling score for a series was 164 and Dave's was 158

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