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

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CEO
Joined: 11 Sep 2015
Posts: 3446
In a barrel full of apples, 45% of the apples weigh more than  [#permalink]

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15 Jan 2019, 11:58
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Difficulty:

55% (hard)

Question Stats:

57% (02:16) correct 43% (01:51) wrong based on 76 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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Intern
Joined: 27 Nov 2018
Posts: 23
Re: In a barrel full of apples, 45% of the apples weigh more than  [#permalink]

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16 Jan 2019, 12:14
Suppose the heaviest of apples is 160 grams for easier understanding

Since 45% -> 81g-160g
so 55% -> 0g-81g
since 81% -> 0g-145g
so 81g-145 = 81-55=26%

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

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16 Jan 2019, 16:02
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GMATPrepNow 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

Let's say there are 100 apples in the barrel.

45% of the apples weigh MORE THAN 81 grams
This means 55% of the apples weigh LESS THAN OR EQUAL to 81 grams
In other words, 55 apples weigh LESS THAN OR EQUAL to 81 grams

81% of the apples weigh LESS THAN 145 grams
This means 19% of the apples weigh MORE THAN OR EQUAL to 145 grams
In other words, 19 apples weigh MORE THAN OR EQUAL to 145 grams

To summarize, we have:
....55 apples....81 grams.............145 grams... 19 apples...

55 + 19 = 74
We've now accounted for 74 apples, which means the remaining 26 apples must be BETWEEN 81 grams and 145 grams.

Cheers,
Brent
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GMATH Teacher
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Joined: 12 Oct 2010
Posts: 768
Re: In a barrel full of apples, 45% of the apples weigh more than  [#permalink]

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18 Jan 2019, 13:56
GMATPrepNow 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

$$? = x$$

$$100 = 45 + 81 - x\,\,\,\,\left[ {{\rm{simplifier}}} \right]\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,? = x = 26$$

We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio.
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Re: In a barrel full of apples, 45% of the apples weigh more than  [#permalink]

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22 Jan 2019, 07:25
GMATPrepNow 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

Since 45% of the apples weigh more than 81 grams, and 81% of the apples weigh less than 145 grams, 45 + 81 - 100 = 26 percent weigh between 81 and 145 grams.

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Re: In a barrel full of apples, 45% of the apples weigh more than   [#permalink] 22 Jan 2019, 07:25
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