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

It is currently 23 Mar 2019, 22:08

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

There are 1600 jelly beans divided between two jars, X and Y. If the

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

Hide Tags

 
Senior Manager
Senior Manager
User avatar
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 414
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
There are 1600 jelly beans divided between two jars, X and Y. If the  [#permalink]

Show Tags

New post 06 Feb 2015, 09:03
2
9
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (02:04) correct 26% (02:17) wrong based on 186 sessions

HideShow timer Statistics

There are 1600 jelly beans divided between two jars, X and Y. If there are 100 fewer jelly beans in jar X than three times the number of beans in jar Y, how many beans are in jar X?

A. 375

B. 950

C. 1150

D. 1175

E. 1350
Most Helpful Expert Reply
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13782
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: There are 1600 jelly beans divided between two jars, X and Y. If the  [#permalink]

Show Tags

New post 06 Feb 2015, 13:43
4
1
Hi All,

This question can certainly be solved with Algebra; with 2 variables and 2 unique equations, it's just a matter of translating the text into equations and doing "system" math.

The answers are numbers though, and there is a logical pattern in the prompt that you can use to quickly TEST THE ANSWERS.

We're told that there are a total of 1600 marbles in two jars. Jar X has 100 less than THREE TIMES the number of marbles in Jar Y. We're asked for the number of marbles in Jar X.

100 marbles is a relatively small amount, compared to the 1600 total marbles. If we ignore the "100" and do a rough estimation, Jar X would be about 1200 and Jar Y would be about 400 (which matches the information about THREE TIMES the number of marbles). Since we DO have to factor in the 100 marbles though, the number of marbles in X has to be LESS than 1200. With this deduction, the answer has to be C or D.

Let's TEST C (since it looks like the "nicer" number to deal with).

IF....
X = 1150 marbles
X + 100 = 1250
1250/3 = 416.6666 marbles
1150 + 416.66666 is NOT 1600 total marbles.
Eliminate C.

Final Answer:

Here's the proof though:

IF....
X = 1175 marbles
X + 100 = 1275
1275/3 = 425
1175 + 425 = 1600 marbles

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!*****

General Discussion
Intern
Intern
avatar
Joined: 05 Sep 2013
Posts: 9
Location: Georgia
Re: There are 1600 jelly beans divided between two jars, X and Y. If the  [#permalink]

Show Tags

New post 06 Feb 2015, 13:28
1
x+y=1600 , X=1600-Y
x+100=3y, 1700=4Y
Y=425

x=1600-y=1600-425=1175
D
Director
Director
User avatar
V
Joined: 04 Dec 2015
Posts: 750
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: There are 1600 jelly beans divided between two jars, X and Y. If the  [#permalink]

Show Tags

New post 06 Nov 2018, 20:08
pacifist85 wrote:
There are 1600 jelly beans divided between two jars, X and Y. If there are 100 fewer jelly beans in jar X than three times the number of beans in jar Y, how many beans are in jar X?

A. 375

B. 950

C. 1150

D. 1175

E. 1350


Let Jelly beans in jar \(X = x\) and \(Y = y\)

\(x + y = 1600\) ----- (\(i\))

Given jar \(X\) has \(100\) fewer jelly beans than three times the number of beans in jar \(Y\).

Therefore; \(x + 100 = 3y\)

\(x = 3y - 100\)

Substituting value of \(x\) in equation (\(i\)), we get;

\(3y - 100 + y = 1600\)

\(4y = 1600 + 100 = 1700\)

\(y = \frac{1700}{4} = 425\)

Substituting value of \(y\) in equation (\(i\)), we get;

\(x + 425 = 1600\)

\(x = 1600\) \(-\) \(425 = 1175\)

Answer D
Intern
Intern
avatar
B
Joined: 16 May 2018
Posts: 47
Location: Hungary
Schools: Queen's MBA'20
Re: There are 1600 jelly beans divided between two jars, X and Y. If the  [#permalink]

Show Tags

New post 08 Mar 2019, 17:52
Hi,
If X has 100 fewer jelly beans than three times the number of beans in jar Y.
Then why did we write X+100 ?
Shouldnt it be X-100?
Intern
Intern
avatar
B
Joined: 19 Apr 2017
Posts: 21
Location: Brazil
Concentration: Finance, Entrepreneurship
GPA: 3
Reviews Badge
Re: There are 1600 jelly beans divided between two jars, X and Y. If the  [#permalink]

Show Tags

New post 08 Mar 2019, 19:35
x+y=1600 (I)

And

3*y = x-100

Reorganizing it

3*y-100 = x (II)

Subs. (II) in (I)

3*y-100+y=1600
4*y=1700
y=425

Then

x=1175

Ans (D)
Intern
Intern
avatar
B
Joined: 16 May 2018
Posts: 47
Location: Hungary
Schools: Queen's MBA'20
Re: There are 1600 jelly beans divided between two jars, X and Y. If the  [#permalink]

Show Tags

New post 09 Mar 2019, 03:13
1
3*y = x-100

Reorganizing it

3*y-100 = x (II)

But if -100 go to the other side of equation, shouldnt it become +100?
Intern
Intern
avatar
B
Joined: 19 Apr 2017
Posts: 21
Location: Brazil
Concentration: Finance, Entrepreneurship
GPA: 3
Reviews Badge
Re: There are 1600 jelly beans divided between two jars, X and Y. If the  [#permalink]

Show Tags

New post 09 Mar 2019, 10:08
hsn81960 wrote:
3*y = x-100

Reorganizing it

3*y-100 = x (II)

But if -100 go to the other side of equation, shouldnt it become +100?


Sorry, it's 3*y = x+100 instead
GMAT Club Bot
Re: There are 1600 jelly beans divided between two jars, X and Y. If the   [#permalink] 09 Mar 2019, 10:08
Display posts from previous: Sort by

There are 1600 jelly beans divided between two jars, X and Y. If the

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


Copyright

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

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®.