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The store gave away an average (arithmetic mean) of 92 candies per bas

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Joined: 02 Sep 2009
Posts: 52431
The store gave away an average (arithmetic mean) of 92 candies per bas  [#permalink]

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08 Jan 2018, 00:04
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Difficulty:

45% (medium)

Question Stats:

74% (01:37) correct 26% (01:37) wrong based on 48 sessions

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The store gave away an average (arithmetic mean) of 92 candies per basket. In the red baskets there was an average of 84 candies, and in the white baskets, the average number was 96. What was the ratio of the number of white baskets to the number of red baskets at the store?

A. 1 : 1
B. 1 : 2
C. 2 : 1
D. 2 : 3
E. 3 : 1

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Re: The store gave away an average (arithmetic mean) of 92 candies per bas  [#permalink]

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08 Jan 2018, 00:45
Option C

Let the number of red baskets be r and number of white baskets be w.
We have 84r+96w=92(r+w)
Solving we get 1w=2r

Hence w/r=2/1. Hence C

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Re: The store gave away an average (arithmetic mean) of 92 candies per bas  [#permalink]

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08 Jan 2018, 00:48
use the average weighted method -> (92-84) / (96-92) = 2/1 => C
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Re: The store gave away an average (arithmetic mean) of 92 candies per bas  [#permalink]

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08 Jan 2018, 00:52
Bunuel wrote:
The store gave away an average (arithmetic mean) of 92 candies per basket. In the red baskets there was an average of 84 candies, and in the white baskets, the average number was 96. What was the ratio of the number of white baskets to the number of red baskets at the store?

A. 1 : 1
B. 1 : 2
C. 2 : 1
D. 2 : 3
E. 3 : 1

R.............A.............W
84............92..........96
96-92.......92.......92-84
4............A.........8
1............A..........2

W:R::2:1
C
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Re: The store gave away an average (arithmetic mean) of 92 candies per bas &nbs [#permalink] 08 Jan 2018, 00:52
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The store gave away an average (arithmetic mean) of 92 candies per bas

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