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A rabbit on a controlled diet is fed daily 300 grams of a [#permalink]
26 Jul 2007, 08:45

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23% (02:03) wrong based on 523 sessions

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]
22 Jun 2015, 13:15

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Re: A rabbit on a controlled diet is fed daily 300 grams of a [#permalink]
17 Aug 2015, 00:40

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.

so X must be 140 gms.

gmatclubot

Re: A rabbit on a controlled diet is fed daily 300 grams of a
[#permalink]
17 Aug 2015, 00:40

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