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The content of a certain box consists of 14 apples and 23

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Director
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The content of a certain box consists of 14 apples and 23 [#permalink] New post 01 Jun 2007, 09:54
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...
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Manager
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 [#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?
Manager
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 [#permalink] New post 01 Jun 2007, 10:16
17 it is

23-17=6

14/(14+6) = .7
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Re: box - Need help to figure out an easy way [#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

:?
Senior Manager
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 [#permalink] New post 01 Jun 2007, 10:42
I set it up like this:

14/X = 70/100

X = 20

37-20 = 17
Manager
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 [#permalink] New post 01 Jun 2007, 10:52
crap!....i guess i misread the question

:(
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 [#permalink] New post 01 Jun 2007, 11:10
No prob Gowani, make your mistakes here, not on the actual test! :))
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 [#permalink] New post 01 Jun 2007, 11:24
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)
  [#permalink] 01 Jun 2007, 11:24
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