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A rabbit on a controlled diet is fed daily 300 grams of a [#permalink]

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26 Jul 2007, 09:45

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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]

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22 Jun 2015, 14:15

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Re: A rabbit on a controlled diet is fed daily 300 grams of a [#permalink]

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17 Aug 2015, 01:40

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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]

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01 Feb 2016, 23:30

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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.
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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
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Re: A rabbit on a controlled diet is fed daily 300 grams of a [#permalink]

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02 Feb 2016, 00:14

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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 -
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