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

It is currently 22 Jul 2014, 23:56

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

A rabbit

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 26 Feb 2011
Posts: 45
Followers: 1

Kudos [?]: 5 [0], given: 1

A rabbit [#permalink] New post 02 Mar 2011, 05:28
A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If the rabbit`s diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture?

A/ 100
B/ 140
C/ 150
D/ 160
E/ 200
Director
Director
avatar
Status: Matriculating
Affiliations: Chicago Booth Class of 2015
Joined: 03 Feb 2011
Posts: 932
Followers: 11

Kudos [?]: 180 [0], given: 123

Reviews Badge
Re: A rabbit [#permalink] New post 02 Mar 2011, 05:39
Let there be X and Y gm of food.
0.10 X + 0.15 Y = 38
or 10 X + 15 Y = 3800 -----(1)

X + Y = 300 ---------(2)
1) + 2) Eliminating Y, we get
X = 140 gm

Madelaine88 wrote:
A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If the rabbit`s diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture?

A/ 100
B/ 140
C/ 150
D/ 160
E/ 200
Director
Director
avatar
Status: Matriculating
Affiliations: Chicago Booth Class of 2015
Joined: 03 Feb 2011
Posts: 932
Followers: 11

Kudos [?]: 180 [0], given: 123

Reviews Badge
Re: A rabbit [#permalink] New post 02 Mar 2011, 05:48
Alternately using the law of balances. The more the difference from the mean, the less the quantity.
38 gm is 38/300 or 38/3 %

X is 10%
Y is 15%
mean is 38/3 %.i.e. 10 < 38/3 < 15

Hence ratio of X : Y in mixture = (15 - 38/3) / (38/3 - 10) = 7 : 8
Hence X = 7/15 of 300 gm = 140 gm
SVP
SVP
avatar
Joined: 16 Nov 2010
Posts: 1692
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 30

Kudos [?]: 274 [0], given: 36

GMAT Tests User Premium Member Reviews Badge
Re: A rabbit [#permalink] New post 02 Mar 2011, 08:16
Let x be the amount of Food X

0.1x + (300-x)0.15 = 38

-0.05x = 38-45

=> x = 140

So answer is B.

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: A rabbit   [#permalink] 02 Mar 2011, 08:16
    Similar topics Author Replies Last post
Similar
Topics:
The cottontail rabbit population in Orange County, tarek99 1 13 Jul 2008, 13:41
4 The cottontail rabbit population in Orange County, sondenso 18 17 May 2008, 02:06
The cottontail rabbit population in Orange County, briks123 3 23 Jul 2007, 14:42
The cottontail rabbit population in Orange County, buckkitty 7 19 Feb 2007, 14:02
CR: Australian Rabbits Nsentra 10 13 Sep 2006, 15:41
Display posts from previous: Sort by

A rabbit

  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®.