Krisp cereal is 10% sugar by weight. Brano cereal is 2% su : GMAT Problem Solving (PS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

It is currently 04 Dec 2016, 17:47
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.

Close

Request Expert Reply

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Krisp cereal is 10% sugar by weight. Brano cereal is 2% su

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

Hide Tags

Manager
Manager
avatar
Joined: 24 May 2010
Posts: 83
Followers: 3

Kudos [?]: 41 [0], given: 1

GMAT ToolKit User
Krisp cereal is 10% sugar by weight. Brano cereal is 2% su [#permalink]

Show Tags

New post 23 Jun 2010, 17:34
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

79% (01:38) correct 21% (00:28) wrong based on 29 sessions

HideShow timer Statistics

Krisp cereal is 10% sugar by weight. Brano cereal is 2% sugar by weight. If you wanted to make the mixture 4% sugar by weight what should the ratio of Krisp to Brano.
2 KUDOS received
Ms. Big Fat Panda
Ms. Big Fat Panda
User avatar
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1922
Concentration: General Management, Nonprofit
Followers: 443

Kudos [?]: 1956 [2] , given: 210

GMAT ToolKit User
Re: Krisp cereal is 10% sugar by weight. Brano cereal is 2% su [#permalink]

Show Tags

New post 23 Jun 2010, 18:29
2
This post received
KUDOS
1
This post was
BOOKMARKED
A similar logic to what I said in the previous question can be used here.

Let us assume he takes x grams of Krisp and y grams of Brano.

So the total weight of the new mixture is (x+y)

Now with respect to percentages, we have:

\(\frac {10}{100}\) x + \(\frac {2}{100}\) y = \(\frac {4}{100}\) (x+y)

So, canceling all the 100s from the denominators, we get

\(10x + 2y = 4(x+y)\)

Rearranging like terms, we get

(10-4) x = (4-2) y

This implies that:

\(\frac {x}{y}\) = \(\frac {4-2}{10-4}\) = \(\frac {2}{6}\)= \(\frac {1}{3}\)

Hope this helps.
Manager
Manager
avatar
Joined: 07 Jun 2010
Posts: 50
Location: United States
Followers: 1

Kudos [?]: 37 [0], given: 7

Re: Krisp cereal is 10% sugar by weight. Brano cereal is 2% su [#permalink]

Show Tags

New post 24 Jun 2010, 16:13
whiplash2411 wrote:
A similar logic to what I said in the previous question can be used here.

Let us assume he takes x grams of Krisp and y grams of Brano.

So the total weight of the new mixture is (x+y)

Now with respect to percentages, we have:

\(\frac {10}{100}\) x + \(\frac {2}{100}\) y = \(\frac {4}{100}\) (x+y)

So, canceling all the 100s from the denominators, we get

\(10x + 2y = 4(x+y)\)

Rearranging like terms, we get


(10-4) x = (4-2) y

This implies that:

\(\frac {x}{y}\) = \(\frac {4-2}{10-4}\) = \(\frac {2}{6}\)= \(\frac {1}{3}\)

Hope this helps.


it should be

(10y + 2x) (x + y)= 4 (xy)
Ms. Big Fat Panda
Ms. Big Fat Panda
User avatar
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1922
Concentration: General Management, Nonprofit
Followers: 443

Kudos [?]: 1956 [0], given: 210

GMAT ToolKit User
Re: Krisp cereal is 10% sugar by weight. Brano cereal is 2% su [#permalink]

Show Tags

New post 24 Jun 2010, 16:25
Can you explain the logic behind that?
4 KUDOS received
Kaplan GMAT Instructor
User avatar
Joined: 21 Jun 2010
Posts: 75
Location: Toronto
Followers: 29

Kudos [?]: 162 [4] , given: 2

Re: Krisp cereal is 10% sugar by weight. Brano cereal is 2% su [#permalink]

Show Tags

New post 26 Jun 2010, 16:47
4
This post received
KUDOS
3
This post was
BOOKMARKED
Krispo is 10%. Bruno is 2%.

Question. Suppose we wanted the final solution to be 6% (not 4%). Because 6 is the midpoint between 10 and 2, wouldn't it then be clear that we would need the final solution to be half of each, and that ratio would be 1:1? It is helpful to visualize this on the number line:

2...6...10

Here we want the final solution to be 4%. So it looks like this:

2.4.....10

Because the grand average is skewed towards Bruno, in order to make the final solution 4%, clearly we need more Bruno than Krisp. In fact, because 4 is only 2 units away from 2 but 6 units away from 10, we need 6:2 or 3:1 as much Bruno as Krisp or 1:3 Krisp to Bruno.

____________

TAKEAWAY: The amount of skew is inversely proportional to the relative quantities of each item. If we have two groups, A, and B, then we have ("x" and "y" represent distance from the total average):

Average of A-------x-------Total average------y--------Average of B

(# in A)/(# in B) = y/x

This concept recurs fairly frequenly on the GMAT, especially in Data Sufficiency questions. If x and y are integers, then using this approach is quick and effective.
3 KUDOS received
Manager
Manager
avatar
Joined: 15 Mar 2010
Posts: 100
Followers: 1

Kudos [?]: 81 [3] , given: 30

Re: Krisp cereal is 10% sugar by weight. Brano cereal is 2% su [#permalink]

Show Tags

New post 27 Jun 2010, 19:21
3
This post received
KUDOS
Jinglander wrote:
Can someone walk me through this please

Krisp cereal is 10% sugar by weight. Brano cereal is 2% sugar by weight. If you wanted to make the mixture 4% sugar by weight what should the ratio of krisp to brano.


An Easier approach:


Attachment:
pic.JPG
pic.JPG [ 3.37 KiB | Viewed 4736 times ]

Hence the ratio of quantities is 2:6=1/3
_________________

If you like my post, consider giving me a kudos. THANKS!

Intern
Intern
avatar
Joined: 14 Jul 2009
Posts: 4
Followers: 0

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

Re: Krisp cereal is 10% sugar by weight. Brano cereal is 2% su [#permalink]

Show Tags

New post 28 Jun 2010, 04:23
K -->10
B ---> 2
So 10K+2B = (K+B)4 --> 10K+2B = 4K+4B --> 6K = 2B --> K/B = 2/6 = 1/3
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 12867
Followers: 559

Kudos [?]: 157 [0], given: 0

Premium Member
Re: Krisp cereal is 10% sugar by weight. Brano cereal is 2% su [#permalink]

Show Tags

New post 15 Aug 2014, 10:21
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

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 12867
Followers: 559

Kudos [?]: 157 [0], given: 0

Premium Member
Re: Krisp cereal is 10% sugar by weight. Brano cereal is 2% su [#permalink]

Show Tags

New post 16 Aug 2015, 22:42
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

Senior Manager
Senior Manager
avatar
Joined: 21 Jun 2014
Posts: 458
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
Followers: 12

Kudos [?]: 154 [0], given: 91

Premium Member CAT Tests
Re: Krisp cereal is 10% sugar by weight. Brano cereal is 2% su [#permalink]

Show Tags

New post 08 Apr 2016, 23:42
Jinglander wrote:
Krisp cereal is 10% sugar by weight. Brano cereal is 2% sugar by weight. If you wanted to make the mixture 4% sugar by weight what should the ratio of Krisp to Brano.



Say, w1 is the weight krisp, w2 is the weight of Brano

using weihted average formula w1/w2 = (c2 - avg) / (Avg-c1)

w1/w2 = 4-2 / 10-6 = 2/3

So Krisp and brano should be mixed in the ratio of 1/3.
_________________

---------------------------------------------------------------
Target - 720-740
helpful post means press '+1' for Kudos!
http://gmatclub.com/forum/information-on-new-gmat-esr-report-beta-221111.html
http://gmatclub.com/forum/list-of-one-year-full-time-mba-programs-222103.html

Senior Manager
Senior Manager
avatar
Joined: 07 Dec 2014
Posts: 454
Followers: 3

Kudos [?]: 76 [0], given: 2

Re: Krisp cereal is 10% sugar by weight. Brano cereal is 2% su [#permalink]

Show Tags

New post 30 Jul 2016, 19:58
.10k+.02b=.04(k+b)
k/b=1/3
Re: Krisp cereal is 10% sugar by weight. Brano cereal is 2% su   [#permalink] 30 Jul 2016, 19:58
    Similar topics Author Replies Last post
Similar
Topics:
7 Experts publish their posts in the topic If the sum of the first n positive odd integers is n^2, what is the su maverickjin8 3 02 Dec 2015, 04:27
8 Experts publish their posts in the topic A quantity of a substance weight 2.83... raeann105 4 19 May 2015, 08:10
11 Experts publish their posts in the topic In an increasing sequence of 10 consecutive integers, the su MBAhereIcome 7 30 Aug 2011, 02:59
10 Experts publish their posts in the topic Cereal A is 10% sugar by weight, whereas healthier but less delicious mniyer 11 17 Apr 2011, 08:33
7 Experts publish their posts in the topic One fourth of a solution that was 10 percent sugar by weight raghavs 7 21 Dec 2009, 05:17
Display posts from previous: Sort by

Krisp cereal is 10% sugar by weight. Brano cereal is 2% su

  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®.