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.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
A rabbit on a controlled diet is fed daily 300 grams of a
[#permalink]
Show Tags
Updated on: 06 Jun 2014, 01:39
8
39
00:00
A
B
C
D
E
Difficulty:
25% (medium)
Question Stats:
81% (02:13) correct 19% (02:36) wrong based on 1514 sessions
HideShow timer Statistics
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% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture.
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% protein and food Y contains 15% 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
The answer is B)140, but I do not understand the OG explanation. Can someone provide their approach to this question in detail
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% protein and food Y contains 15% 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
The answer is B)140, but I do not understand the OG explanation. Can someone provide their approach to this question in detail
Thanks,
Much simpler method is there...
38 gms means approx. 12.66%. Then use the mixture alligation formula to calculate the ratio of X to Y, ie,
X/Y= (15-12.66)/(12.66-10)=2.33/2.66.
Hence amt of X in total mixture is 300*2.33/(2.33+2.66)=139.2~140
Answer B.
I was just wondering. I know there are many different ways to solve math problems, but is there a prefer method when solving Mixture Problems?
Its wat you feel comfortable with or the one which you do faster and accurately. You have to develop that approach by practice.
Atleast I think so. I solved the problem using Mixtures & Alligation formula coz I feel comfortable with that.
Re: A rabbit on a controlled diet is fed daily 300 grams of a
[#permalink]
Show Tags
17 Aug 2015, 00:40
1
we can solve by testing answers lets start with B... let qty of X be 140 gms. so Y will be 160 gms. proteins from X = 14 gms proteins from Y = 24 gms add both, we get 38gms.
Re: A rabbit on a controlled diet is fed daily 300 grams of a
[#permalink]
Show Tags
01 Feb 2016, 22:30
7
2
30 sec reasoning out: 38/300 - is a bit less than a 13% protein content. Hence 13% is closer to 15%Y than to 10%X - this means that there is just sligthly more Y component because should those 2 be equal the protein content would have been sharply 12.5% which is not the case.
Immediately we kick out 3 answer choices >= 150 and are left with A and B. A is too low for the aboe slight deviation - so B is much closer to truth.
_________________
A rabbit on a controlled diet is fed daily 300 grams of a
[#permalink]
Show Tags
01 Feb 2016, 22:53
2
shasadou wrote:
30 sec reasoning out: 38/300 - is a bit less than a 13% protein content. Hence 13% is closer to 15%Y than to 10%X - this means that there is just sligthly more Y component because should those 2 be equal the protein content would have been sharply 12.5% which is not the case.
Immediately we kick out 3 answer choices >= 150 and are left with A and B. A is too low for the aboe slight deviation - so B is much closer to truth.
Hi, this weighted approach,if mastered, can actually make a difference in your Quant score.. Good approach and you should try this in almost all Q that asks for an average in a mixture, or for a quantity, when an average is given.. +1 kudos
_________________
Re: A rabbit on a controlled diet is fed daily 300 grams of a
[#permalink]
Show Tags
01 Feb 2016, 23:14
1
I am going through word problem types of questions because I think i bombed this type of q in my last gmat both time-wise and accuracy wise. And what i see from OG about 30% of all questions comprise the word problem type.
During these 2 days I solved numerous word problems and here are my observations:
- very time consuming because the intuitive approach is to apply algebra and form equations, on average easy question take almost the same time as hard ones - given my incline to make silly mistakes in algebraic calculations I should rely more on reasoning out the easy questions - majority of easy word problems employ weighted average or mean concepts which can be done by reasoning much faster than by doing algebra - ultimately this will save at least 30 secs on each such question -
_________________
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 672
Location: United States (CA)
Age: 39
GMAT 1: 770 Q47 V48
GMAT 2: 730 Q44 V47
GMAT 3: 750 Q50 V42
GRE 1: Q168 V169
WE: Education (Education)
A rabbit on a controlled diet is fed daily 300 grams of a
[#permalink]
Show Tags
26 Mar 2016, 17:25
Here is a visual that should help.
Attachments
Screen Shot 2016-03-26 at 6.26.43 PM.png [ 108.49 KiB | Viewed 8530 times ]
_________________
Harvard grad and 99% GMAT scorer, offering expert, private GMAT tutoring and coaching worldwide since 2002.
One of the only known humans to have taken the GMAT 5 times and scored in the 700s every time (700, 710, 730, 750, 770), including verified section scores of Q50 / V47, as well as personal bests of 8/8 IR (2 times), 6/6 AWA (4 times), 50/51Q and 48/51V (1 question wrong).
You can download my official test-taker score report (all scores within the last 5 years) directly from the Pearson Vue website: https://tinyurl.com/y94hlarr Date of Birth: 09 December 1979.
Re: A rabbit on a controlled diet is fed daily 300 grams of a
[#permalink]
Show Tags
23 May 2016, 11:29
The answer choices are wide enough to narrow down. Food X < average, therefore options C to D are out. Can't be 100 because it is to far away from the average, hence B.
tinman1412 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% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture.
close
81% (02:13) correct 
