A rabbit : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 02:25

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A rabbit

Author Message
TAGS:

### Hide Tags

Intern
Joined: 26 Feb 2011
Posts: 38
Followers: 1

Kudos [?]: 96 [0], given: 1

### Show Tags

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 rabbits 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
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
Posts: 920
Followers: 14

Kudos [?]: 341 [0], given: 123

### Show Tags

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

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 rabbits 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
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
Posts: 920
Followers: 14

Kudos [?]: 341 [0], given: 123

### Show Tags

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
Joined: 16 Nov 2010
Posts: 1672
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 33

Kudos [?]: 514 [0], given: 36

### Show Tags

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

_________________

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

GMAT Club Premium Membership - big benefits and savings

Re: A rabbit   [#permalink] 02 Mar 2011, 08:16
Similar topics Replies Last post
Similar
Topics:
7 The male alpine rabbits of the Tzatzek nature reserve have suffered a 10 20 Jan 2015, 05:49
4 A certain rabbit population quadruples every three years. 9 11 Dec 2012, 22:06
55 A rabbit on a controlled diet is fed daily 300 grams of a 25 26 Jul 2007, 08:45
Display posts from previous: Sort by