Author 
Message 
TAGS:

Hide Tags

Senior Manager
Joined: 18 Oct 2010
Posts: 369

The contents of a certain box consist of 14 apples and 23 or
[#permalink]
Show Tags
Updated on: 29 Sep 2012, 00:33
Question Stats:
77% (01:41) correct 23% (02:10) wrong based on 499 sessions
HideShow timer Statistics
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
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by heygirl on 01 Mar 2011, 13:12.
Last edited by Bunuel on 29 Sep 2012, 00:33, edited 1 time in total.
Renamed the topic and edited the question.




Math Expert
Joined: 02 Sep 2009
Posts: 58954

Re: Official guide question
[#permalink]
Show Tags
01 Mar 2011, 13:19
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 3720=17 oranges must be removed. Answer: D.
_________________




Manager
Joined: 14 Feb 2011
Posts: 143

Re: Official guide question
[#permalink]
Show Tags
01 Mar 2011, 13:22
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 2014 = 6 oranges.
Right now, there are 23 oranges, so to get to 6 oranges, we should remove 23  6 = 17 oranges.
Answer D



Senior Manager
Joined: 18 Oct 2010
Posts: 369

Re: Official guide question
[#permalink]
Show Tags
01 Mar 2011, 13:40
bunuel and beyondgmatscore, Thanks. i got it now. Geez, I feel like a fool to not have understood this



Senior Manager
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 416

Percentage
[#permalink]
Show Tags
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%(37x) x= 17
_________________



Intern
Joined: 02 Oct 2010
Posts: 17
Schools: Ross,Duke,Emory

Re: Official guide question
[#permalink]
Show Tags
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



Director
Joined: 01 Feb 2011
Posts: 535

Re: Official guide question
[#permalink]
Show Tags
05 Apr 2011, 18:08
0.7(37x) = 14 => x =17
Answer D



Retired Moderator
Joined: 16 Nov 2010
Posts: 1238
Location: United States (IN)
Concentration: Strategy, Technology

Re: Official guide question
[#permalink]
Show Tags
05 Apr 2011, 19:19
(14)/(37x) = 7/10 => x = 17 Answer  D
_________________
Formula of Life > Achievement/Potential = k * Happiness (where k is a constant) GMAT Club Premium Membership  big benefits and savings



Manager
Joined: 10 Jul 2010
Posts: 158

Re: Official guide question
[#permalink]
Show Tags
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. 236=17 oranges that have to be removed
So
Imo D
Posted from my mobile device



Manager
Joined: 02 Nov 2009
Posts: 95

The content of a certain box consists of 14 apples and 23 orange
[#permalink]
Show Tags
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 2014 = 6
so 236 = 17
main point here is the apples remain the same no matter vvhat



Intern
Joined: 08 Dec 2017
Posts: 15

Re: The contents of a certain box consist of 14 apples and 23 or
[#permalink]
Show Tags
16 Dec 2017, 13:50
Ratio of apples to oranges is 7 to 3. Since there are 14 apples there needs to be 6 oranges. 2317=6 so 17 apples need to be removed.
Posted from my mobile device



Manager
Joined: 03 Aug 2017
Posts: 80

Re: The contents of a certain box consist of 14 apples and 23 or
[#permalink]
Show Tags
05 Mar 2018, 21:39
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
Testing ans choices If D = 17 no of oranges to be removed means there are 6 oranges left and 14 apples left a total of 20 fruits. 14 = 70% of 20 therefore D Is the correct ans



Intern
Joined: 09 May 2018
Posts: 7

Re: The contents of a certain box consist of 14 apples and 23 or
[#permalink]
Show Tags
31 Jan 2019, 12:11
I did it like below:
Total Apples/(Total Fruits  Oranges to be removed) = 70%
Now assume Oranges to be removed = x
14/(14+23x) = 70/100 Further solving will give : 20=37x x= 17
Hence D
Posted from my mobile device



Intern
Joined: 21 Aug 2018
Posts: 17
Location: France
GPA: 2.8

Re: The contents of a certain box consist of 14 apples and 23 or
[#permalink]
Show Tags
04 Sep 2019, 14:24
A very simple and innocent approach of this problem is sufficient to solve this under 50 seconds:
14 Apples, 23 Oranges for 1 Box > 14A + 23O = 1B, and we need to subtract enough Oranges to have 30% of oranges and 70% of apples left.
We know that the initial 14 Apples won't move, and that 2/3>66% of 21 is 14! Just by understanding this, we can approximate the subtraction of 16 oranges to complete the equivalence, and the nearest number to this is 17: Answer D, it's done!



Intern
Joined: 28 Jan 2019
Posts: 13

Re: The contents of a certain box consist of 14 apples and 23 or
[#permalink]
Show Tags
09 Nov 2019, 13:06
The question stem tells us that we will not remove any apples and the desired end state is to have 70% of the box be apples. As a result we know that: .70(future total fruit)=14 apples future total fruit = 20
This means future total fruit will be 14 apples and 6 oranges. Right now we have 23 oranges and we need to get to 6, which we can do by removing 17 oranges.
Ans D.




Re: The contents of a certain box consist of 14 apples and 23 or
[#permalink]
09 Nov 2019, 13:06






