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

It is currently 17 Jan 2019, 13:25

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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winning strategy for a high GRE score

     January 17, 2019

     January 17, 2019

     08:00 AM PST

     09:00 AM PST

    Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

Kris-P cereal is 10% sugar by weight, whereas healthier but less delic

  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: 75
GMAT ToolKit User
Kris-P cereal is 10% sugar by weight, whereas healthier but less delic  [#permalink]

Show Tags

New post 23 Jun 2010, 17:34
6
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

55% (01:12) correct 45% (01:02) wrong based on 71 sessions

HideShow timer Statistics

Kris-P cereal is 10% sugar by weight, whereas healthier but less delicious Bran-0 cereal is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Kris-P cereal to Bran-0 cereal, by weight?

A. 1:3
B. 2:7
C. 2:3
D. 4:5
E. 1:9

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.
Most Helpful Community Reply
Kaplan GMAT Instructor
User avatar
Joined: 21 Jun 2010
Posts: 70
Location: Toronto
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic  [#permalink]

Show Tags

New post 26 Jun 2010, 16:47
6
5
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.
General Discussion
SVP
SVP
User avatar
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1855
Concentration: General Management, Nonprofit
GMAT ToolKit User
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic  [#permalink]

Show Tags

New post 23 Jun 2010, 18:29
3
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.
Intern
Intern
avatar
Joined: 07 Jun 2010
Posts: 47
Location: United States
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic  [#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)
SVP
SVP
User avatar
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1855
Concentration: General Management, Nonprofit
GMAT ToolKit User
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic  [#permalink]

Show Tags

New post 24 Jun 2010, 16:25
Can you explain the logic behind that?
Manager
Manager
avatar
Joined: 15 Mar 2010
Posts: 73
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic  [#permalink]

Show Tags

New post 27 Jun 2010, 19:21
4
2
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 6742 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: 2
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic  [#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
Moderator
avatar
V
Joined: 21 Jun 2014
Posts: 1113
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
GMAT ToolKit User Premium Member
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic  [#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
Project PS Butler - https://gmatclub.com/forum/project-ps-butler-practice-everyday-280904.html
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

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1151
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic  [#permalink]

Show Tags

New post 30 Jul 2016, 19:58
.10k+.02b=.04(k+b)
k/b=1/3
Intern
Intern
avatar
B
Joined: 04 Aug 2017
Posts: 10
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic  [#permalink]

Show Tags

New post 13 Oct 2017, 03:55
I approached this algebraically:
X= total weight of Krisp
Y= total weight of Bruno

10x/100 + 2y/100=4(x+y)/100
10x/100 + 2y/100=4x/100 + 4y/100
6x/100=2y/100
6x=2y
x=1/3(y)
x/y=1/3
Manager
Manager
User avatar
B
Joined: 14 Feb 2016
Posts: 73
Kris-P cereal is 10% sugar by weight, whereas healthier but less delic  [#permalink]

Show Tags

New post 28 Dec 2018, 12:00
Kris-P cereal is 10% sugar by weight, whereas healthier but less delicious Bran-0 cereal is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Kris-P cereal to Bran-0 cereal, by weight?

A) 1:3
B) 2:7
C) 2:3
D) 4:5
E) 1:9
_________________

Please provide kudos if you liked my post! I would really like to use the PDF file!!

Manager
Manager
avatar
B
Joined: 01 May 2017
Posts: 69
Location: India
CAT Tests
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic  [#permalink]

Show Tags

New post 28 Dec 2018, 21:27
10% sugar in Kris-p (x) = 0.1x
2% sugar in Bran-0 (y) = 0.02y
Mixture contains 4% sugar = 0.04(x+y)

0.1x + 0.02y = 0.04(x+y)
0.06x = 0.02y
x/y = 2/6
x/y = 1/3
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7198
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic  [#permalink]

Show Tags

New post 28 Dec 2018, 21:45
CLIMBTHELADDER wrote:
Kris-P cereal is 10% sugar by weight, whereas healthier but less delicious Bran-0 cereal is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Kris-P cereal to Bran-0 cereal, by weight?

A) 1:3
B) 2:7
C) 2:3
D) 4:5
E) 1:9



Use weighted average method..
....B0..A.......KP
So 2...4........10
Ratio of KP to B0.....\(\frac{Average-B0}{KP-average}\)=\(\frac{4-2}{10-4}\)=2/6=1/3..

A
_________________

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

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52231
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic  [#permalink]

Show Tags

New post 31 Dec 2018, 00:23
CLIMBTHELADDER wrote:
Kris-P cereal is 10% sugar by weight, whereas healthier but less delicious Bran-0 cereal is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Kris-P cereal to Bran-0 cereal, by weight?

A) 1:3
B) 2:7
C) 2:3
D) 4:5
E) 1:9


Please search before posting. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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

GMAT Club Bot
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic &nbs [#permalink] 31 Dec 2018, 00:23
Display posts from previous: Sort by

Kris-P cereal is 10% sugar by weight, whereas healthier but less delic

  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®.