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

It is currently 28 Jul 2015, 23:49
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

One-fourth of a solution that was 10% by weight was replaced

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
4 KUDOS received
Intern
Intern
avatar
Joined: 27 Sep 2008
Posts: 14
Followers: 0

Kudos [?]: 53 [4] , given: 0

One-fourth of a solution that was 10% by weight was replaced [#permalink] New post 04 Oct 2008, 02:53
4
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (02:34) wrong based on 0 sessions
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

One-fourth of a solution that was 10% by weight was replaced by a second solution resulting in a solution that was 16% sugar by weight. The second solution was what percent sugar by weight.

34%
24%
22%
18%
8.5%
Manager
Manager
avatar
Joined: 27 Sep 2008
Posts: 76
Followers: 1

Kudos [?]: 8 [0], given: 0

Re: Solution Problem [#permalink] New post 04 Oct 2008, 03:40
The answer is (A) = 34%

start with 10% and x% in the first row

then 16% in the second row

and x-16% and 6% in the last one

then you are being told that:

x-16/6 = 3/1 (your started with 4 parts but replaced 1 part).

x-16 = 18

x = 34


:)
1 KUDOS received
Intern
Intern
avatar
Joined: 27 Sep 2008
Posts: 14
Followers: 0

Kudos [?]: 53 [1] , given: 0

Re: Solution Problem [#permalink] New post 04 Oct 2008, 04:24
1
This post received
KUDOS
your solution assumes that x-16/6 = 3/1
it is possible that x-16/6 = 1/3
Manager
Manager
avatar
Joined: 27 Sep 2008
Posts: 76
Followers: 1

Kudos [?]: 8 [0], given: 0

Re: Solution Problem [#permalink] New post 04 Oct 2008, 04:26
ast wrote:
your solution assumes that x-16/6 = 3/1
it is possible that x-16/6 = 1/3


No - since x is the unknown part meaning its the part that was replaced - given as one part out of four (three where left unchanged).
SVP
SVP
avatar
Joined: 17 Jun 2008
Posts: 1570
Followers: 12

Kudos [?]: 207 [0], given: 0

Re: Solution Problem [#permalink] New post 05 Oct 2008, 13:28
2/3*(0.1) +1/3*(x) = 0.16

or x = 0.34 and hence 34%.
Intern
Intern
avatar
Joined: 06 Jul 2008
Posts: 30
Followers: 0

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

Re: Solution Problem [#permalink] New post 05 Oct 2008, 14:03
Lets look at the sugar and Compare them :

Lets say K is the total volume:
Remaining sugar after replacing 1/4th = 3/4 (10K)/100
Addition of 1/4 with x sugar concentration = K/4(x/100)
Final Sugar = k*(16/100)

Equation

3/4 (10K)/100 + K/4(x/100) = k*(16/100)

X = 34.

Ans - A
Retired Moderator
User avatar
Joined: 18 Jul 2008
Posts: 994
Followers: 10

Kudos [?]: 115 [0], given: 5

Re: Solution Problem [#permalink] New post 25 Mar 2009, 14:06
How do you solve this using the 2D grid method?

This is how I translated the information. Where did I go wrong?

Attachment:
grid.JPG
grid.JPG [ 17.72 KiB | Viewed 1128 times ]
Director
Director
User avatar
Joined: 01 Apr 2008
Posts: 904
Schools: IIM Lucknow (IPMX) - Class of 2014
Followers: 18

Kudos [?]: 343 [0], given: 18

Re: Solution Problem [#permalink] New post 25 Mar 2009, 21:26
Hi bigfernhead,
Lets apply the method mentioned in my earlier post abt mixtures. The table becomes:
Orig Rem Added Result
Conc 0.10 0.10 x 0.16
Amt 1 0.25 0.25 1

Now, if you have the equation: Orig-Rem+Added=Result, you will get 34%.

bigfernhead wrote:
How do you solve this using the 2D grid method?

This is how I translated the information. Where did I go wrong?

Attachment:
grid.JPG
Manager
Manager
avatar
Joined: 30 Nov 2008
Posts: 91
Followers: 2

Kudos [?]: 17 [0], given: 0

GMAT ToolKit User
Re: Solution Problem [#permalink] New post 27 Jun 2009, 07:02
I swear to God, I love you guys - but you make things so complicated.....

try:

3/4*(10) + 1/4*(x) = 16

30/4 + x/4 = 64/4

x/4 = 34/4

x=34
Manager
Manager
avatar
Joined: 28 Jan 2004
Posts: 203
Location: India
Followers: 2

Kudos [?]: 17 [0], given: 4

Re: Solution Problem [#permalink] New post 29 Jun 2009, 21:32
Refer to the attached document whihc shows the solution in the simplest and the least complicaed way.
I don't know how to post images hence putting it in a document.

Can someone tell me how can we upoad the images ?

Ans 34
Attachments

Mixtures.doc [28 KiB]
Downloaded 98 times

To download please login or register as a user

Re: Solution Problem   [#permalink] 29 Jun 2009, 21:32
Display posts from previous: Sort by

One-fourth of a solution that was 10% by weight was replaced

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| 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®.