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The contents of a certain box consist of 14 apples and 23 oranges. How

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The contents of a certain box consist of 14 apples and 23 oranges. How [#permalink] New post 01 Jun 2007, 09:54
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Question Stats:

64% (02:11) correct 36% (01:24) wrong based on 50 sessions
The contents of a certain box consist of 14 apples and 23 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?

A. 3
B. 6
C. 14
D. 17
E. 20

[Reveal] Spoiler:
I did it the long way, I need someone to help me find a more convenient way :

x = no of oranges to be removed
14 = 70%(37 - x)
doing the whole calculation and I get 17...


OPEN DISCUSSION OF THIS QUESTION IS HERE: the-contents-of-a-certain-box-consist-of-14-apples-and-23-or-110233.html
[Reveal] Spoiler: OA

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Re: The contents of a certain box consist of 14 apples and 23 oranges. How [#permalink] New post 01 Jun 2007, 10:07
i get A as the answer

the question asks how many oragnes must be removed

so we can't touch apples. if there are 14 apples then 20 would be the number of oranges needed to equal 70 percent (ie: 7 apples for every 10 oranges and then 7 will go into 14 twice so multiply 10 oranges by 2)

hope that makes sense

what's the OA?
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Re: The contents of a certain box consist of 14 apples and 23 oranges. How [#permalink] New post 01 Jun 2007, 10:16
17 it is

23-17=6

14/(14+6) = .7
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Re: The contents of a certain box consist of 14 apples and 23 oranges. How [#permalink] New post 01 Jun 2007, 10:21
alimad wrote:
The content of a certain box consists of 14 apples and 23 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?

A. 3
B. 6
C. 14
D. 17
E. 20

I did it the long way, I need someone to help me find a more convenient way :

x = no of oranges to be removed
14 = 70%(37 - x)

doing the whole calculation and I get 17...


14 = 7/10*(37 - x)

140 = 259 - 7*x

119 = 7*x

x = 17

:?
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Re: The contents of a certain box consist of 14 apples and 23 oranges. How [#permalink] New post 01 Jun 2007, 10:42
I set it up like this:

14/X = 70/100

X = 20

37-20 = 17
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Re: The contents of a certain box consist of 14 apples and 23 oranges. How [#permalink] New post 01 Jun 2007, 10:52
crap!....i guess i misread the question

:(
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Re: The contents of a certain box consist of 14 apples and 23 oranges. How [#permalink] New post 01 Jun 2007, 11:10
No prob Gowani, make your mistakes here, not on the actual test! :))
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Re: The contents of a certain box consist of 14 apples and 23 oranges. How [#permalink] New post 01 Jun 2007, 11:24
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The content of a certain box consists of 14 apples and 23 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?

A. 3
B. 6
C. 14
D. 17
E. 20

The shortcut I would think with this one is to just use Pluggin in the Answers since we have answer choices that are numbers.

Start with C --> 23(original oranges)-14(oranges to be removed from box)= 9 oranges remaining 14/(14+9)= 14/23= alittle more than half but not 70% --> Answer too small so you need a bigger number (rule out A,B,C -->now try D)


D--> 23(original oranges)-17(oranges to be removed from box)= 6 oranges remaining 14/(14+6)= 14/20= (14*5)/(20*5) = 70/100 BINGO 70% so answer is 17 (D)
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Re: The contents of a certain box consist of 14 apples and 23 oranges. How [#permalink] New post 12 Nov 2014, 12:37
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Re: The contents of a certain box consist of 14 apples and 23 oranges. How [#permalink] New post 12 Nov 2014, 18:01
Expert's post
alimad wrote:
The contents of a certain box consist of 14 apples and 23 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?

A. 3
B. 6
C. 14
D. 17
E. 20

[Reveal] Spoiler:
I did it the long way, I need someone to help me find a more convenient way :

x = no of oranges to be removed
14 = 70%(37 - x)
doing the whole calculation and I get 17...


As only oranges must be removed then 14 apples which are now in the box must comprise 70% of total # of fruits after removal: 0.7*total=14 --> total=20, and as there are 37 fruits now 37-20=17 oranges must be removed.

Answer: D.

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-contents-of-a-certain-box-consist-of-14-apples-and-23-or-110233.html
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Re: The contents of a certain box consist of 14 apples and 23 oranges. How   [#permalink] 12 Nov 2014, 18:01
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