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An elephant in a zoo is fed a diet that consists solely of a mixture o

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New post 12 Jul 2018, 20:05
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An elephant in a zoo is fed a diet that consists solely of a mixture of 2 different foods, Food A and Food B, which contains 30 percent fat and 10 percent fat, respectively. The elephant consumes a total of 50 pounds of food daily. How many pounds of Food A are in the elephant's daily food mixture if the mixture contains exactly 11 pounds of fat?

A) 50
B) 30
C) 20
D) 9
E) 2
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An elephant in a zoo is fed a diet that consists solely of a mixture o  [#permalink]

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New post Updated on: 12 Jul 2018, 21:20
Assuming X pounds of Food A and Y pounds of Food B.
We have two variables X and Y and two equations per below:

X + Y = 50----------------------------------(1)
0.30X + 0.1Y = 11 => 3X + Y = 110-----(2)

Subtract (2) from (1)
3X + Y - (X + Y) = 110 - 50 => 3X + Y -X - Y = 60 => 2X = 60 => X = 30
Answer B

If question was how many pounds of Food B is consumed.
Answer will be per below

Put value of X in equation (1)
Y = 50 - X = 50 - 30 = 20

Originally posted by bangu on 12 Jul 2018, 20:44.
Last edited by bangu on 12 Jul 2018, 21:20, edited 1 time in total.
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Re: An elephant in a zoo is fed a diet that consists solely of a mixture o  [#permalink]

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New post 12 Jul 2018, 20:51
0.3x+ 0.1(50-x) = 11
Solving x = 30
Answer B
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An elephant in a zoo is fed a diet that consists solely of a mixture o  [#permalink]

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New post 12 Jul 2018, 21:28
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Carlgrc wrote:
An elephant in a zoo is fed a diet that consists solely of a mixture of 2 different foods, Food A and Food B, which contains 30 percent fat and 10 percent fat, respectively. The elephant consumes a total of 50 pounds of food daily. How many pounds of Food A are in the elephant's daily food mixture if the mixture contains exactly 11 pounds of fat?

A) 50
B) 30
C) 20
D) 9
E) 2


Using allegation method:-
Diagram affixed with explanation.

Ans. (B)
Attachments

Jumbo fat.JPG
Jumbo fat.JPG [ 30.67 KiB | Viewed 1193 times ]


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An elephant in a zoo is fed a diet that consists solely of a mixture o  [#permalink]

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New post 01 Jan 2019, 17:16
I solved it by the following method,

let a and b be 100lbs each, so a has 30 lbs and b 10 lbs fat.

so for 50 lbs of A & B has 15 lbs and 5 lbs fat.
using the allegation method,

w1/w2 = 5-11/11-15 = 6/4= 3/2

so A = 30 lbs.

is this method correct?
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An elephant in a zoo is fed a diet that consists solely of a mixture o   [#permalink] 01 Jan 2019, 17:16
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