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#1 2013-02-26 05:26:15

johnphoenix
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Mixture

A mixture is containing milk and water in the ratio 3:1 . What fraction of the mixture must be replaced by water so that the resultant mixture contains 50% water ?

Please try to explain the steps as well cos I am math at Maths .

#2 2013-02-26 05:31:15

bobbym

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Re: Mixture

Hi johnphoenix;

If 1 / 3 of the milk was replaced by water then you would have a 50:50 mixture. 1 / 3 of the milk represents 1 / 4 of the mixture, so you must replace 1 / 4 of the mixture.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#3 2013-02-26 05:39:30

johnphoenix
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Re: Mixture

how is it 1/3 of milk ? Explain please, I am a noob

#4 2013-02-26 05:43:43

bobbym

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Re: Mixture

Supposing the mixture was divided into 4 pieces. 3 of those pieces are milk, yes?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#5 2013-02-26 05:45:32

johnphoenix
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Re: Mixture

yeah so milk is 3/4 part of it and water is 1/4 part

#6 2013-02-26 05:48:30

bobbym

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Re: Mixture

That is right. Take 1 part of the milk ( there are 3 ) and replace it with water. You now have 2 parts milk and 2 parts water. It is 50:50 now.

But 1 part of the milk is only 1 / 4 of the 4 parts of the mixture. So we need to replace 1 part of the mixture which is 1 / 4 of the mixture.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#7 2013-02-26 05:51:24

johnphoenix
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Re: Mixture

yeah mate , I have understood that but the answer given is 1/3

#8 2013-02-26 05:55:06

bobbym

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Re: Mixture

Did you copy the question exactly?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

johnphoenix
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Offline

yes mate ;

#10 2013-02-26 06:00:21

bobbym

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Re: Mixture

Okay, I thought you just needed some fraction help but you are asking for a mixture problem. I will try and solve that.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#11 2013-02-26 06:03:10

johnphoenix
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Re: Mixture

I guess they want fraction of milk  Sorry mate

#12 2013-02-26 06:05:53

johnphoenix
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Re: Mixture

Got It mate Alligation use allegation 1/3 is correct answer

And ques is exactly quoted

#13 2013-02-26 06:07:21

bobbym

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Re: Mixture

What is Allegation?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#14 2013-02-26 06:12:24

johnphoenix
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Re: Mixture

Alligation is a method of solving mixture ques.

#15 2013-02-26 06:14:50

bobbym

Online

Re: Mixture

I agree it is 1 /3  by calculation.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

johnphoenix
Member

Offline

#17 2013-02-26 06:34:17

bobbym

Online

Re: Mixture

Hi;

I soon as I get it, I will post it.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

johnphoenix
Member

Offline

ok

#19 2013-02-26 06:45:26

bobbym

Online

Re: Mixture

Ley m be the percentage of milk, w be the percentage of water, n is the percentage we must remove.

m = 75
w = 25
n = 1 / 3

The whole 3 equations boil down to this:

Last edited by bobbym (2013-02-26 06:51:57)

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.