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In a barrel full of apples, 45% of the apples weigh more than 81 grams

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Math Expert
Joined: 02 Sep 2009
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In a barrel full of apples, 45% of the apples weigh more than 81 grams  [#permalink]

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28 Jan 2019, 01:22
00:00

Difficulty:

55% (hard)

Question Stats:

52% (02:13) correct 48% (02:01) wrong based on 31 sessions

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In a barrel full of apples, 45% of the apples weigh more than 81 grams, and 81% of the apples weigh less than 145 grams. What percent of the apples in the barrel weigh more than 81 grams but less than 145 grams?

(A) 16
(B) 18
(C) 26
(D) 32
(E) 36

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Re: In a barrel full of apples, 45% of the apples weigh more than 81 grams  [#permalink]

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28 Jan 2019, 01:32
1
45% of Apples > 81 grams
81% of Apples < 145 grams

The percent of the apples in the barrel weigh more than 81 grams but less than 145 grams is 81-45 = 36%

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In a barrel full of apples, 45% of the apples weigh more than 81 grams  [#permalink]

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28 Jan 2019, 03:02
Bunuel wrote:
In a barrel full of apples, 45% of the apples weigh more than 81 grams, and 81% of the apples weigh less than 145 grams. What percent of the apples in the barrel weigh more than 81 grams but less than 145 grams?

(A) 16
(B) 18
(C) 26
(D) 32
(E) 36

solved using 2x2 matrix solution attached
IMO C
Attachments

File comment: solution
apples.xlsx [30.75 KiB]

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Re: In a barrel full of apples, 45% of the apples weigh more than 81 grams  [#permalink]

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21 Jun 2019, 02:11
Let's assume we have 100 apples

Apples above 81g = 45
Apples below 145 = 81

Apples between 81 and 145: 45 (Apples above 81g) - 19 (Apples above 145g) = 26 apples are in the desired range
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Re: In a barrel full of apples, 45% of the apples weigh more than 81 grams   [#permalink] 21 Jun 2019, 02:11
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