The contents of a certain box consist of 14 apples and 23 or

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The contents of a certain box consist of 14 apples and 23 or [#permalink]

01 Mar 2011, 13:12

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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: OA

Last edited by Bunuel on 29 Sep 2012, 00:33, edited 1 time in total.

Renamed the topic and edited the question.

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Re: Official guide question [#permalink]

01 Mar 2011, 13:19

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heygirl 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

Please help me with this one. I'm unable to understand the technique used in the OG.
Thanks

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.
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Re: Official guide question [#permalink]

01 Mar 2011, 13:22

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The objective here is that 70% of the fruit in the box should be apples.

Now, there are 14 apples at start and there is no talk of removing any apples, so number of apples should remain 14 and they should constitute 70% of total fruit, so total fruit = 14/0.7 = 20

So we should have 20-14 = 6 oranges.

Right now, there are 23 oranges, so to get to 6 oranges, we should remove 23 - 6 = 17 oranges.

Answer D

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Re: Official guide question [#permalink]

01 Mar 2011, 13:40

bunuel and beyondgmatscore, Thanks. i got it now.
Geez, I feel like a fool to not have understood this :oops:

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Percentage [#permalink]

05 Apr 2011, 09:56

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

x= orange to be removed
14=70%(37-x)
x= 17
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Re: Official guide question [#permalink]

05 Apr 2011, 10:21

Let x denotes the total no of fruits.

No of Apples remain the same.
Hence
14/x * 100 = 70
Solving we get x = 20

Apples = 14 Oranges = 6
Therfore, no of oranges to be removed = 17

Ans : D

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Re: Official guide question [#permalink]

05 Apr 2011, 18:08

0.7(37-x) = 14
=> x =17

Answer D

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Re: Official guide question [#permalink]

05 Apr 2011, 19:19

(14)/(37-x) = 7/10

=> x = 17

Answer - D
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Re: Official guide question [#permalink]

05 Apr 2011, 23:58

\frac {14}{x} = \frac{70}{100}

Gives you twenty total pieces of fruit. 14 are apples, so 6 are oranges. 23-6=17 oranges that have to be removed

So

Imo D

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The content of a certain box consists of 14 apples and 23 orange [#permalink]

28 Sep 2012, 21:26

14 apples and 23 oranges

70 percent of the pieces of fruit in the box will be apples

--> 70%(T) = 14
T = 20

remaining
20-14 = 6

so 23-6 = 17

main point here is the apples remain the same no matter vvhat

The content of a certain box consists of 14 apples and 23 orange [#permalink] 28 Sep 2012, 21:26

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