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

It is currently 18 Nov 2018, 06:29

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
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • How to QUICKLY Solve GMAT Questions - GMAT Club Chat

     November 20, 2018

     November 20, 2018

     09:00 AM PST

     10:00 AM PST

    The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.
  • The winning strategy for 700+ on the GMAT

     November 20, 2018

     November 20, 2018

     06:00 PM EST

     07:00 PM EST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and

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

Hide Tags

Senior Manager
Senior Manager
User avatar
P
Joined: 02 Jul 2017
Posts: 293
Concentration: Entrepreneurship, Technology
GMAT 1: 730 Q50 V38
GMAT ToolKit User
An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and  [#permalink]

Show Tags

New post 06 Nov 2017, 08:39
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

38% (02:51) correct 63% (02:34) wrong based on 18 sessions

HideShow timer Statistics

An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and Lily each buy some tool-kits. After both of them complete their purchases, Lily trades two-thirds of her gizmos with Anthony for two-thirds of his gadgets.
After the trade, Lily has 92 more gadgets than she has gizmos, and Anthony has 50 more gizmos than he has gadgets. How many tool-kits did Lily buy?

A) 4
B) 5
C) 6
D) 8
E) 10
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7036
An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and  [#permalink]

Show Tags

New post 06 Nov 2017, 08:49
Nikkb wrote:
An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and Lily each buy some tool-kits. After both of them complete their purchases, Lily trades two-thirds of her gizmos with Anthony for two-thirds of his gadgets.
After the trade, Lily has 92 more gadgets than she has gizmos, and Anthony has 50 more gizmos than he has gadgets. How many tool-kits did Lily buy?

A) 4
B) 5
C) 6
D) 8
E) 10



let Lily take x set and Anthony take y...

lily has 6x gizmos and 9x gadgets
Anthony has 6y gizmos and 9y gadgets...

after the exchange.....

Lily has \(\frac{1}{3}*6x=2x\) gizmos and \(9x+\frac{2}{3}*9y=9x+6y\) gadgets
given that difference is 92 so \(9x+6y-2x=7x+6y=92\)

A has \(\frac{1}{3}*9y=3y\) gadgets and \(6y+\frac{2}{3}*6x=4x+6y\) gadgets
given that difference is 50 so \(4x+6y-3y=4x+3y=50\)

so \(7x+6y=92\).....................(i)
\(4x+3y=50.......8x+6y=100\)..(ii)
subtract i from ii
\(8x+6y-7x-6y=100-92........x=8\)
ans 8

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Senior Manager
Senior Manager
User avatar
P
Joined: 02 Jul 2017
Posts: 293
Concentration: Entrepreneurship, Technology
GMAT 1: 730 Q50 V38
GMAT ToolKit User
Re: An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and  [#permalink]

Show Tags

New post 06 Nov 2017, 09:33
Attaching solution again as someone deleted my earlier post.. not sure why.... :(

emockus , Tridhipal and dave13

Guys here is the solution :

Tool-kit = 6 gizmos + 9 gadgets

Let Anthony bought Toolkits = a
and Lily bought Toolkits = b
Attachments

Toolkit question.JPG
Toolkit question.JPG [ 1.99 MiB | Viewed 433 times ]

GMAT Club Bot
Re: An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and &nbs [#permalink] 06 Nov 2017, 09:33
Display posts from previous: Sort by

An engineering toolkit contains 6 gizmos and 9 gadgets. Anthony and

  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®.