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

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Intern
Joined: 30 Jan 2016
Posts: 2
Re: A rabbit on a controlled diet is fed daily 300 grams of a  [#permalink]

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08 Jul 2016, 04:14
4
1
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
Director
Joined: 20 Feb 2015
Posts: 722
Concentration: Strategy, General Management
Re: A rabbit on a controlled diet is fed daily 300 grams of a  [#permalink]

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20 Jul 2016, 04:23
1
If food X = 140 grams ---protein = 14 grams
Food Y = 160 grams -----protein = 24 grams
total = 38 grams

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

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18 Oct 2016, 09:10
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.
Intern
Joined: 10 Nov 2013
Posts: 17
Re: A rabbit on a controlled diet is fed daily 300 grams of a  [#permalink]

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04 Jul 2017, 15:03
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.
Manager
Joined: 03 Oct 2016
Posts: 118
A rabbit on a controlled diet is fed daily 300 grams of a  [#permalink]

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29 Jan 2018, 23:23
Solved it by using the scale method (scale should be always of the same variable, here it is protein).

Protein in X ----- Avg Protein after mixing --------- Protein in Y

Based on above the scale becomes as below:

(Soln X) 10-----<$$\frac{38}{3}$$-10>-------$$\frac{38}{3}$$----<15-$$\frac{38}{3}$$>------15 (Soln Y)

$$\frac{X}{Y}$$=(15-$$\frac{38}{3}$$)/($$\frac{38}{3}$$-10)=$$\frac{7}{8}$$
To know X from the total mixture/solution= $$\frac{X}{X+Y}$$=$$\frac{7}{(7+8)}$$*300=$$\frac{7}{15}$$*300=140

Answer=(B)
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Re: A rabbit on a controlled diet is fed daily 300 grams of a  [#permalink]

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31 Jan 2018, 16:14
1
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

We can create two equations:

x + y = 300

y = 300 - x

and

0.1x + 0.15y = 38

Substituting, we have:

0.1x + 0.15(300 - x) = 38

0.1x + 45 - 0.15x = 38

7 = 0.05x

140 = x

Answer: B
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# Scott Woodbury-Stewart

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

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31 Jan 2018, 19:20
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

As per the given question -

$$3x + 3y = 900$$
$$2x + 3y = 760$$

$$x = 140.$$
VP
Joined: 09 Mar 2016
Posts: 1238
Re: A rabbit on a controlled diet is fed daily 300 grams of a  [#permalink]

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20 Feb 2018, 11:52
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

1.) x+y = 300 --> x = 300-y plug in the second equation

2.) .10x+.15y = 38

.10(300-y )+.15y = 38

y = 160 hence x is 140

i will try another method 2morrow
Manager
Joined: 16 May 2018
Posts: 79
Location: Hungary
Schools: Queen's MBA'20
Re: A rabbit on a controlled diet is fed daily 300 grams of a  [#permalink]

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30 May 2019, 13:14
anyone whats the difficulty level of this question pls?
550?
VP
Joined: 14 Feb 2017
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GMAT 2: 550 Q43 V23
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GMAT 6: 600 Q38 V35
GMAT 7: 710 Q47 V41
GPA: 3
WE: Management Consulting (Consulting)
Re: A rabbit on a controlled diet is fed daily 300 grams of a  [#permalink]

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04 Aug 2019, 15:23
Refer to my capture - this is the easiest method

0.10x + 0.15(300-x)= 38
0.10x + 45 - 0.15x = 38
-0.05x = -7
5x=700
x=700/5
=140
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Here's how I went from 430 to 710, and how you can do it yourself:
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Re: A rabbit on a controlled diet is fed daily 300 grams of a  [#permalink]

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29 Jan 2020, 01:55
38 grams is 38/3% of 300 and the average we want in the mix; with the alleg. formula:
15 - 38/3 = 7/3;
38/3 - 10 = 8/3;
X/Y = 7/3 * 3/8= 7/8;
300 * 7/15 = 140.
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Re: A rabbit on a controlled diet is fed daily 300 grams of a  [#permalink]

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04 Mar 2020, 07:22
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

Let’s let x = the number of grams of food X and y = the number of grams of food Y. We can create two equations:

Amount of food:

x + y = 300

y = 300 - x

and

Amount of protein:

0.1x + 0.15y = 38

Substituting, we have:

0.1x + 0.15(300 - x) = 38

0.1x + 45 - 0.15x = 38

7 = 0.05x

140 = x

Answer: B
_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
202 Reviews

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self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

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

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22 May 2020, 08:31
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Re: A rabbit on a controlled diet is fed daily 300 grams of a   [#permalink] 22 May 2020, 08:31

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