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A rabbit on a controlled diet is fed daily 300 grams of a

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Senior Manager
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WE: Education (Education)
A rabbit on a controlled diet is fed daily 300 grams of a [#permalink]

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New post 26 Mar 2016, 18:25
Here is a visual that should help.
Attachments

Screen Shot 2016-03-26 at 6.26.43 PM.png
Screen Shot 2016-03-26 at 6.26.43 PM.png [ 108.49 KiB | Viewed 853 times ]


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

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New post 23 May 2016, 12:29
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.

A. 100
B. 140
C. 150
D. 160
E. 200

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

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New post 23 May 2016, 12:52
\(.1x+.15(300-x)=38\)

\(10x+4500-15x=3800\)

\(5x=700\)

\(x=140\)

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

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New post 08 Jul 2016, 05:14
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10 % of 300 = 30 gms
15% 0f 300 = 45 gms

using allegation
45- 38/ 38- 30

= 7/ 8
therefore x :y is in the ratio 7: 8

7/ 15 X 300 = 140 gms

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

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New post 20 Jul 2016, 05:23
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If food X = 140 grams ---protein = 14 grams
Food Y = 160 grams -----protein = 24 grams
total = 38 grams

Therefore B

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

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New post 18 Oct 2016, 10:10
Mixture problem. Definitely something to know for the exam! Let's dive in...

We know x+y=300 grams

Equation should be the following:

(0.10)x+(300-x)(0.15) = (0.1267)(300)

Solve for x. We get x = 140.

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

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New post 04 Jul 2017, 16:03
Success2015 wrote:
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.


...That's what I did as well. That's the easiest and fastest way for me. Started with a middle term, got 37.5, but the question says EXACTLY 38 grams. So you need to decrease the amount of Food X since it has less protein to up the total. Hence, the answer is 140.

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

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New post 09 Aug 2017, 03:59
can we apply allegation method on this problem? if yes please help.

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Re: A rabbit on a controlled diet is fed daily 300 grams of a   [#permalink] 09 Aug 2017, 03:59

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