Find all School-related info fast with the new School-Specific MBA Forum

It is currently 30 Aug 2016, 14:08
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Pat bought 5 pounds of apples. How many pounds of pears

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

Hide Tags

2 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 04 Jun 2007
Posts: 373
Followers: 1

Kudos [?]: 48 [2] , given: 0

Pat bought 5 pounds of apples. How many pounds of pears [#permalink]

Show Tags

New post 30 Oct 2007, 20:25
2
This post received
KUDOS
9
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

61% (01:54) correct 39% (01:03) wrong based on 431 sessions

HideShow timer Statistics

Pat bought 5 pounds of apples. How many pounds of pears could he have bought for same amount of money?

(1) 1 pound of pears cost $0.5 more that 1 pound of apples
(2) 1 pound of pears cost 1.5 times as much as 1 pound of apples
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 Feb 2013, 07:13, edited 1 time in total.
Edited the question and added the OA.
3 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 04 Jun 2007
Posts: 373
Followers: 1

Kudos [?]: 48 [3] , given: 0

Re: gmatprep DS- apples and pears [#permalink]

Show Tags

New post 30 Oct 2007, 20:41
3
This post received
KUDOS
1
This post was
BOOKMARKED
trivikram wrote:
r019h wrote:
Pat bought 5 pounds of apples. How many pounds of pears could he have bought for same amount of money?
1) 1 pound of pears cost $0.5 more that 1 pound of apples
2) 1 pound of pears cost 1.5 times as much as 1 pound of apples


B should be it


st. 1
cost of 1 pound of apples= $x
cost of 1 pound pears= $x+0.5
5 pounds of apples for $5x
and 5x/x+0.5 pounds of pears for $5x INSUFF

st. 2
1 pound of pears= $1.5x
so 5x/1.5x pounds of pears for $5x= 5/1.5 approx= 3 pounds of pears
SUFF
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 900
Followers: 14

Kudos [?]: 882 [0], given: 543

Re: Pat bought 5 pounds of apples. How many pounds of pears [#permalink]

Show Tags

New post 27 Feb 2013, 04:05
I didn't understand statement 2
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34511
Followers: 6303

Kudos [?]: 79973 [1] , given: 10022

Re: Pat bought 5 pounds of apples. How many pounds of pears [#permalink]

Show Tags

New post 27 Feb 2013, 07:44
1
This post received
KUDOS
Expert's post
5
This post was
BOOKMARKED
fozzzy wrote:
I didn't understand statement 2


Pat bought 5 pounds of apples. How many pounds of pears could he have bought for same amount of money?

(1) 1 pound of pears cost $0.5 more that 1 pound of apples.

If 1 pound of pears cost $1 and 1 pound of apples cost $0.5, then the cost of 5 pounds of apples is 5*0.5=$2.5. For $2.5 we can buy 2.5/1=2.5 pounds of pears.
If 1 pound of pears cost $1.5 and 1 pound of apples cost $1, then the cost of 5 pounds of apples is 5*1=$5. For $5 we can buy 5/1.5=10/3 pounds of pears.

Not sufficient.

(2) 1 pound of pears cost 1.5 times as much as 1 pound of apples. The cost of 5 pounds of apples is $5a (where a is the cost of 1 pound of apples). For $5a we can buy 5a/(1.5a)=5/1.5 pounds of pears. Sufficient.

Answer: B.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 27 Jul 2010
Posts: 14
Followers: 0

Kudos [?]: 4 [0], given: 15

Re: Pat bought 5 pounds of apples. How many pounds of pears [#permalink]

Show Tags

New post 10 Aug 2013, 14:17
Bunuel wrote:
fozzzy wrote:
I didn't understand statement 2


Pat bought 5 pounds of apples. How many pounds of pears could he have bought for same amount of money?

(1) 1 pound of pears cost $0.5 more that 1 pound of apples.

If 1 pound of pears cost $1 and 1 pound of apples cost $0.5, then the cost of 5 pounds of apples is 5*0.5=$2.5. For $2.5 we can buy 2.5/1=2.5 pounds of pears.
If 1 pound of pears cost $1.5 and 1 pound of apples cost $1, then the cost of 5 pounds of apples is 5*1=$5. For $5 we can buy 5/1.5=10/3 pounds of pears.

Not sufficient.

(2) 1 pound of pears cost 1.5 times as much as 1 pound of apples. The cost of 5 pounds of apples is $5a (where a is the cost of 1 pound of apples). For $5a we can buy 5a/(1.5a)=5/1.5 pounds of pears. Sufficient.

Answer: B.

Hope it's clear.



Hello Bunuel,

Can you please correct my approach of solving this question.

Statement 1:

5 pound of apple cost x
1 pound of apple cost x/5

1 pound of pear would have cost x/5 + 0.5$. Since x is unknown . Hence not sufficient

Statement 2:

1 pound of pear cost 3/2(x/5).

Here, now i thought that since x is still unknown its not sufficient.

Combining both also doesnt give value for x. Hence my answer was E which is incorrect,

Can you please solve this question using my approach. If its correct :) thanks!
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11152
Followers: 512

Kudos [?]: 134 [0], given: 0

Premium Member
Re: Pat bought 5 pounds of apples. How many pounds of pears [#permalink]

Show Tags

New post 01 Nov 2014, 13:19
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Intern
Intern
avatar
Joined: 03 Feb 2011
Posts: 21
Followers: 0

Kudos [?]: 2 [0], given: 16

Re: Pat bought 5 pounds of apples. How many pounds of pears [#permalink]

Show Tags

New post 26 Feb 2015, 16:00
Seen quite a number of DS problem of this type, when they give you ratio then most probably you can figure it out the values, (2) 3x = 2y. But if they simply give you data like (1) x = y + 0.5 then there are high chances you can't figure it out the answer.
Expert Post
2 KUDOS received
EMPOWERgmat Instructor
User avatar
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 7214
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 315

Kudos [?]: 2134 [2] , given: 161

Re: Pat bought 5 pounds of apples. How many pounds of pears [#permalink]

Show Tags

New post 26 Feb 2015, 21:15
2
This post received
KUDOS
Expert's post
Hi All,

While ankurjohar's question is over 1.5 years old, I'll still answer it because that approach COULD have worked, but the work was incomplete...

Based on that user's initial steps....

$X = cost of 5 pounds of apples
$X/5 = cost of 1 pound of apples

Fact 2 tells us that 1 pound of pears costs 1.5 times the cost of 1 pound of apples.

With some Algebra, we have...

(X/5) = cost of 1 pound of apples
(3/2)(X/5) = cost of 1 pound of pears
3X/10 = cost of 1 pound of pears

At this point, ankurjohar assumed that this was insufficient, but there's still more work to do....

We now have a ratio that relates what $X will buy you in this situation:

$X buys you 5 pounds of apples

Since $(3/10)(X) buys you 1 pound of pears, $X will buy you 10/3 pounds of pears, so we CAN answer the question with this information.
Fact 2 is SUFFICIENT.

Final Answer:
[Reveal] Spoiler:
B


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

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

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

Director
Director
User avatar
Joined: 23 Jan 2013
Posts: 535
Schools: Cambridge'16
Followers: 1

Kudos [?]: 55 [0], given: 39

Re: Pat bought 5 pounds of apples. How many pounds of pears [#permalink]

Show Tags

New post 26 Feb 2015, 21:26
it is typical when difference in values of one item is not sufficient to count total number of items, but their ratio is sufficient

B
Senior Manager
Senior Manager
User avatar
Joined: 12 Aug 2015
Posts: 309
Concentration: General Management, Operations
GMAT 1: 640 Q40 V37
GMAT 2: 650 Q43 V36
GMAT 3: 600 Q47 V27
GPA: 3.3
WE: Management Consulting (Consulting)
Followers: 4

Kudos [?]: 170 [0], given: 1474

Re: Pat bought 5 pounds of apples. How many pounds of pears [#permalink]

Show Tags

New post 15 Aug 2015, 08:53
Hi

Please, is my reasoning correct?

st2: 1 pound of pears buys 1.5 pounds of apples (so to say you can change back your pears and receive apples instead). Hence 5 pounds of pears will buy 5*1.5 pounds of apples equals 7.5 pounds of apples
_________________

KUDO me plenty

Expert Post
EMPOWERgmat Instructor
User avatar
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 7214
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 315

Kudos [?]: 2134 [0], given: 161

Re: Pat bought 5 pounds of apples. How many pounds of pears [#permalink]

Show Tags

New post 15 Aug 2015, 10:33
Hi shasadou,

Yes, the ratio that you've calculated IS correct and you can use that ratio to eventually answer the given question (although you did not do any of that work in your explanation).

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

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

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

Director
Director
User avatar
Joined: 10 Mar 2013
Posts: 608
Location: Germany
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q46 V24
GPA: 3.88
WE: Information Technology (Consulting)
Followers: 8

Kudos [?]: 182 [0], given: 200

GMAT ToolKit User
Pat bought 5 pounds of apples. How many pounds of pears [#permalink]

Show Tags

New post 14 Jan 2016, 11:32
r019h wrote:
Pat bought 5 pounds of apples. How many pounds of pears could he have bought for same amount of money?

(1) 1 pound of pears cost $0.5 more that 1 pound of apples
(2) 1 pound of pears cost 1.5 times as much as 1 pound of apples


................A........P
Pounds.......5.........P
Price.........x.........y

(1) \(y=x+0,5\), \(5x=p(x+0,5)\), you cannot get rid of x, hence not sufficient
(2) \(y=1,5x\) --> \(5x=p*1,5x\) -> \(p=10/3\)

Answer B
_________________

When you’re up, your friends know who you are. When you’re down, you know who your friends are.

Share some Kudos, if my posts help you. Thank you !

800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50
GMAT PREP 670
MGMAT CAT 630
KAPLAN CAT 660

Expert Post
Math Revolution GMAT Instructor
User avatar
Joined: 16 Aug 2015
Posts: 1679
GPA: 3.82
Followers: 117

Kudos [?]: 953 [0], given: 0

Premium Member CAT Tests
Re: Pat bought 5 pounds of apples. How many pounds of pears [#permalink]

Show Tags

New post 14 Jan 2016, 18:31
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Pat bought 5 pounds of apples. How many pounds of pears could he have bought for same amount of money?

(1) 1 pound of pears cost $0.5 more that 1 pound of apples
(2) 1 pound of pears cost 1.5 times as much as 1 pound of apples

When you modify the original condition and the question, it is frequently given on GMAT Math, which is "2 by 2" que like the table below.
Attachment:
GCDS   r019h     Pat bought 5 pounds of apples (20160115).jpg
GCDS r019h Pat bought 5 pounds of apples (20160115).jpg [ 21.67 KiB | Viewed 3003 times ]

On the tables, n=? is derived from 5a=np. Generally, when one con indicates number and the other con indicates ratio, it is most likely that ratio is an answer. As for this question, in 1) number and 2) ratio, substitute p=1.5a in 2) to 5a=np and it becomes 5a=n(1.5a). Then delete a on the both equations -> 5=1.5n, n=5/1.5, which is unique and sufficient. Therefore the answer is B.


 Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Re: Pat bought 5 pounds of apples. How many pounds of pears   [#permalink] 14 Jan 2016, 18:31
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic Ann bought five different kinds of fruit: apples, oranges, pears ajaym28 3 25 Oct 2014, 10:01
1 Sam's Grocery store sells potatoes only in 5-pound bags and fozzzy 1 07 Sep 2013, 01:58
3 Experts publish their posts in the topic Maria can either buy a basket that contains P pounds of appl fozzzy 6 12 Mar 2013, 04:25
4 Experts publish their posts in the topic Pat bought 5 pounds of apples. How many pounds of Jp27 3 14 Nov 2012, 06:36
What is the cost of 5 apples and 5 pears? (1) 2 apples and shnitzen 3 25 Sep 2011, 13:46
Display posts from previous: Sort by

Pat bought 5 pounds of apples. How many pounds of pears

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.