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

 It is currently 21 Sep 2018, 06:55

### 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

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

# A shopping cart contains only apples, oranges, and pears. If there are

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49300
A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

### Show Tags

28 Aug 2015, 02:18
3
2
00:00

Difficulty:

5% (low)

Question Stats:

85% (00:48) correct 15% (01:04) wrong based on 155 sessions

### HideShow timer Statistics

A shopping cart contains only apples, oranges, and pears. If there are twice as many oranges as apples, and three times as many pears as oranges, then the apples are equivalent to what fraction of the pears?

A. 1/6
B. 1/3
C. 1/2
D. 2/3
E. 3/4

Kudos for a correct solution.

_________________
Manager
Joined: 07 Apr 2015
Posts: 175
Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

### Show Tags

28 Aug 2015, 05:43
A = 2*O
P = 3*O

2O / 3O = 2/3
Manager
Joined: 08 Sep 2012
Posts: 64
Location: India
Concentration: Social Entrepreneurship, General Management
WE: Engineering (Investment Banking)
Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

### Show Tags

28 Aug 2015, 08:04
Bunuel wrote:
A shopping cart contains only apples, oranges, and pears. If there are twice as many oranges as apples, and three times as many pears as oranges, then the apples are equivalent to what fraction of the pears?

A. 1/6
B. 1/3
C. 1/2
D. 2/3
E. 3/4

Kudos for a correct solution.

Dear Bunuel ,

I always get confused with statements such as "twice as many oranges as apples"; is it 2A = O or O = 2A ?
Similarly for "three times as many pears as oranges"; is it 3P = O or 3O = P ?

What are the different styles used in GMAT? Can you please list down such statements and their equivalent formulations?

_________________

+1 Kudos if you liked my post! Thank you!

Current Student
Joined: 23 May 2013
Posts: 188
Location: United States
Concentration: Technology, Healthcare
Schools: Stanford '19 (M)
GMAT 1: 760 Q49 V45
GPA: 3.5
Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

### Show Tags

28 Aug 2015, 09:16
1
O = 2A
P = 3O

A/P = (O/2)/(3O) = 1/6.
Manager
Joined: 12 Mar 2015
Posts: 97
GPA: 3.9
WE: Information Technology (Computer Software)
Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

### Show Tags

28 Aug 2015, 13:05
1
Oranges =2 Apples
Pears = 3 Oranges

Pears =3(2 Apples)

A/P =1/6
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12422
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

### Show Tags

28 Aug 2015, 19:49
1
Hi noTh1ng,

When translating information into math formulas, you have to be careful about that work. If you make a mistake in the translation, then you'll almost certainly end up with an incorrect answer (and it's possible that THAT specific incorrect answer will be among the answer choices, so you won't even realize that you've made a mistake).

Here, we're told that there are twice as many oranges as apples. Before translating this sentence, think about what you should have MORE of...oranges or apples? So what do you have to do to the 'smaller number?' Double it...

Oranges = 2(Apples)

Your other translation IS correct though...

Pears = 3(Oranges)

From here, what would the correct answer be?

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Manager
Joined: 04 May 2015
Posts: 71
Concentration: Strategy, Operations
WE: Operations (Military & Defense)
Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

### Show Tags

28 Aug 2015, 20:43
1
Bunuel wrote:
A shopping cart contains only apples, oranges, and pears. If there are twice as many oranges as apples, and three times as many pears as oranges, then the apples are equivalent to what fraction of the pears?

A. 1/6
B. 1/3
C. 1/2
D. 2/3
E. 3/4

Kudos for a correct solution.

For these questions I normally try and build a small table and avoid algebra at all cost...

...A shopping cart contains only apples, oranges, and pears...

A : O : P

...there are twice as many oranges as apples... (plug in easy numbers)

A : O : P
1 : 2 : ?

...three times as many pears as oranges... (fill in the blank)

A : O : P
1 : 2 : 6

apples are equivalent to what fraction of the pears?

A : O : P
1 : 2 : 6

Hope it helps... And that I'm not wrong
_________________

If you found my post useful, please consider throwing me a Kudos... Every bit helps

Manager
Joined: 07 Apr 2015
Posts: 175
Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

### Show Tags

29 Aug 2015, 02:17
2
EMPOWERgmatRichC wrote:
Hi noTh1ng,

When translating information into math formulas, you have to be careful about that work. If you make a mistake in the translation, then you'll almost certainly end up with an incorrect answer (and it's possible that THAT specific incorrect answer will be among the answer choices, so you won't even realize that you've made a mistake).

Here, we're told that there are twice as many oranges as apples. Before translating this sentence, think about what you should have MORE of...oranges or apples? So what do you have to do to the 'smaller number?' Double it...

Oranges = 2(Apples)

Your other translation IS correct though...

Pears = 3(Oranges)

From here, what would the correct answer be?

GMAT assassins aren't born, they're made,
Rich

oops, thanks for noticing. Didn't pay enough attention there..

O = 2A
P = 3O

A = 1/2 O

1/2O / 3O = 1/6 O
Director
Joined: 21 May 2013
Posts: 648
Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

### Show Tags

29 Aug 2015, 03:58
Bunuel wrote:
A shopping cart contains only apples, oranges, and pears. If there are twice as many oranges as apples, and three times as many pears as oranges, then the apples are equivalent to what fraction of the pears?

A. 1/6
B. 1/3
C. 1/2
D. 2/3
E. 3/4

Kudos for a correct solution.

Pears:Oranges=3:1 &Oranges:Apples=2:1
Rationalizing Oranges in both the ratios,
Pears:Oranges=6:2 & Oranges:Apples=2:1
Therefore, Pears:Apples=6:1
Manager
Joined: 14 Jul 2014
Posts: 182
Location: United States
Schools: Duke '20 (D)
GMAT 1: 600 Q48 V27
GMAT 2: 720 Q50 V37
GPA: 3.2
Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

### Show Tags

20 Sep 2015, 15:39
Could someone please confirm if there are 6 apples for one pear or one pear for every 6 apples?
Current Student
Joined: 20 Mar 2014
Posts: 2638
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

### Show Tags

20 Sep 2015, 15:47
dina98 wrote:
Could someone please confirm if there are 6 apples for one pear or one pear for every 6 apples?

It will be 6 pears for every apple or P=6A.

If the questions says that you twice as many X as Y , then you would have X=2Y, there are more 'X's than 'Y's.

Hope this helps.
Manager
Joined: 17 Aug 2015
Posts: 102
Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

### Show Tags

04 Feb 2017, 06:38
There are twice as many oranges as apples (note the idiomatic construction). There are also three times as many pears as oranges.

So let us have oranges = 4
SO apples must be half as much ==> 2
pears are thrice as much as oranges ==> 12
apples to pears ratio is 2/12 = 1/6!
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4030
Location: India
GPA: 3.5
Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

### Show Tags

04 Feb 2017, 08:29
Bunuel wrote:
A shopping cart contains only apples, oranges, and pears. If there are twice as many oranges as apples, and three times as many pears as oranges, then the apples are equivalent to what fraction of the pears?

A. 1/6
B. 1/3
C. 1/2
D. 2/3
E. 3/4

Kudos for a correct solution.

Quote:
If there are twice as many oranges as apples

o : a = 2 : 1----------------> (I)

Quote:
and three times as many pears as oranges,

p : o = 3 : 1----------------> (II)

Combining (I) & (II)-

o : a : p = 2 : 1 : 6

Quote:
then the apples are equivalent to what fraction of the pears?

So, apples are 1/6 of pears....

Answer will be (A) $$\frac{1}{6}$$
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Senior Manager
Joined: 25 Mar 2013
Posts: 256
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Re: A shopping cart contains only apples, oranges, and pears. If there are  [#permalink]

### Show Tags

09 Feb 2017, 19:19
Apples = A
Oranges = O
Pears = P
A = x/y x P ?
O = 2*A
P = 3*O
Substitute values
1/6
A
_________________

I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you

Re: A shopping cart contains only apples, oranges, and pears. If there are &nbs [#permalink] 09 Feb 2017, 19:19
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.