GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 13 Oct 2019, 15:43

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

The ratio of oranges to apples in a fruit basket is 3 to 4. However,

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58335
The ratio of oranges to apples in a fruit basket is 3 to 4. However,  [#permalink]

Show Tags

New post 15 Sep 2016, 04:07
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

80% (01:19) correct 20% (01:45) wrong based on 187 sessions

HideShow timer Statistics

Retired Moderator
avatar
G
Joined: 26 Nov 2012
Posts: 580
Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,  [#permalink]

Show Tags

New post 15 Sep 2016, 05:00
Bunuel wrote:
The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?

A. 2
B. 3
C. 6
D. 9
E. 12


O / A = 3/4 => O = 3/4(A).

Now O/A-4 = 3/2 . Now sub O value in this...we get 3A / 4A-16 = 3/2 => A = 8 and O = 6.

IMO option C.
Senior Manager
Senior Manager
User avatar
Joined: 11 Nov 2014
Posts: 320
Location: India
Concentration: Finance, International Business
WE: Project Management (Telecommunications)
GMAT ToolKit User
Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,  [#permalink]

Show Tags

New post 15 Sep 2016, 05:38
o a
3x 4x
3x 3
4x-4 2
=
6x = 12x-12
x = 2
3x = 6

C
CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3990
Location: Canada
Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,  [#permalink]

Show Tags

New post 15 Sep 2016, 14:39
Top Contributor
2
Bunuel wrote:
The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?

A. 2
B. 3
C. 6
D. 9
E. 12


Let O = # of oranges originally in basket
Let A = # of apples originally in basket

The ratio of oranges to apples in a fruit basket is 3 to 4
So, O/A = 3/4
Cross multiply to get: 4O = 3A

After Mary and Alan eat four apples, the ratio changes to 3 to 2
NOTE: I'm assuming they eat a TOTAL of 4 apples, and not 4 apples each.
So, the number of apples is now A - 4
So, the oranges to apples ratio is as follows: O/(A-4) = 3/2
Cross multiply to get: 2O = 3(A - 4)
Expand: 2O = 3A - 12

We now have the following system:
4O = 3A
2O = 3A - 12

SUBTRACT the bottom equation from the top equation to get: 2O = 12
Solve: O= 6

Answer:

RELATED VIDEOS



_________________
Test confidently with gmatprepnow.com
Image
Manhattan Prep Instructor
User avatar
G
Joined: 04 Dec 2015
Posts: 833
GMAT 1: 790 Q51 V49
GRE 1: Q170 V170
Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,  [#permalink]

Show Tags

New post 15 Sep 2016, 14:51
1
1
Bunuel wrote:
The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?

A. 2
B. 3
C. 6
D. 9
E. 12


I vote for plugging in the answer choices on this one.

You can eliminate (A) immediately, since it's not a multiple of 3.

(B): if there are 3 oranges, there are 4 apples. After Mary and Alan eat 4 apples, there would be 0 apples. That's not a 3:2 ratio. Wrong.

(C): If there are 6 oranges, there are 8 apples. After Mary and Alan eat 4 apples, there would be 4 apples. That's 6:4, which is 3:2. Correct.
_________________
Image

Chelsey Cooley | Manhattan Prep | Seattle and Online

My latest GMAT blog posts | Suggestions for blog articles are always welcome!
Current Student
avatar
B
Joined: 24 Jul 2016
Posts: 75
Location: United States (MI)
GMAT 1: 730 Q51 V40
GPA: 3.6
Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,  [#permalink]

Show Tags

New post 15 Sep 2016, 17:20
I thought a decrease of 2 units mean 4 apples. So one unit means 2 apples. Hence, 3 units of oranges mean 6 oranges :)


Sent from my iPhone using GMAT Club Forum mobile app
Current Student
User avatar
B
Status: DONE!
Joined: 05 Sep 2016
Posts: 358
Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,  [#permalink]

Show Tags

New post 27 Oct 2016, 20:35
1
orange/apple = 3x/(4x-4) = 3/2
6x=12x-12
12=6x
x=2

3(2) = 6 oranges
Intern
Intern
avatar
B
Joined: 27 Dec 2017
Posts: 26
Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,  [#permalink]

Show Tags

New post 05 Jan 2018, 00:05
Org:app::3:4;. Org:app-4::3:2
3/4APP: APP-4::3:2=3/2app=3(app-4)
12=3/2app=app is 8 org = 6

study mode
Intern
Intern
avatar
B
Joined: 31 May 2018
Posts: 22
GMAT ToolKit User
Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,  [#permalink]

Show Tags

New post 30 Sep 2019, 03:44
GMATPrepNow wrote:
Bunuel wrote:
The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?

A. 2
B. 3
C. 6
D. 9
E. 12


Let O = # of oranges originally in basket
Let A = # of apples originally in basket

The ratio of oranges to apples in a fruit basket is 3 to 4
So, O/A = 3/4
Cross multiply to get: 4O = 3A

After Mary and Alan eat four apples, the ratio changes to 3 to 2
NOTE: I'm assuming they eat a TOTAL of 4 apples, and not 4 apples each.
So, the number of apples is now A - 4
So, the oranges to apples ratio is as follows: O/(A-4) = 3/2
Cross multiply to get: 2O = 3(A - 4)
Expand: 2O = 3A - 12

We now have the following system:
4O = 3A
2O = 3A - 12

SUBTRACT the bottom equation from the top equation to get: 2O = 12
Solve: O= 6

Answer:

RELATED VIDEOS





I thought D, according to your below approach

3 4
6 8
9 12
12 16

Here 16-12=4; as 4 apple gone according to stem, so why not D?

Would you please explain this?

Posted from my mobile device
CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3990
Location: Canada
Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,  [#permalink]

Show Tags

New post 30 Sep 2019, 09:11
Top Contributor
Anupom wrote:
I thought D, according to your below approach

3 4
6 8
9 12
12 16

Here 16-12=4; as 4 apple gone according to stem, so why not D?

Would you please explain this?

I'm not entirely sure I follow your rationale.

Let's say the correct answer is D, which means there are 9 oranges and 12 apples in the bag ORIGINALLY.
AFTER 4 apples are eaten, there are now 9 oranges and 8 apples in the bag
However, the question tells us that the ratio of oranges to apples CHANGES to 3:2 (9:8)
So, the correct answer cannot be D
_________________
Test confidently with gmatprepnow.com
Image
Manager
Manager
avatar
B
Joined: 03 Aug 2017
Posts: 60
Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,  [#permalink]

Show Tags

New post 03 Oct 2019, 01:39
Bunuel wrote:
The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?

A. 2
B. 3
C. 6
D. 9
E. 12


This is how i solved.

The original ratio = 3/4 for Oranges / Apples

Lets form an equation 3x / 4x - 4 = 3/2

cross multiply to get x= 2

Now Original amount of Oranges = 3x ie 3*2 = 6 Oranges and choice C
GMAT Club Bot
Re: The ratio of oranges to apples in a fruit basket is 3 to 4. However,   [#permalink] 03 Oct 2019, 01:39
Display posts from previous: Sort by

The ratio of oranges to apples in a fruit basket is 3 to 4. However,

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne