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#1 2013-02-25 06:26:15

johnphoenix
Member
Registered: 2013-02-25
Posts: 10

Mixture

I have a problem , please help me

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 . smile

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#2 2013-02-25 06:31:15

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2013-02-25 06:39:30

johnphoenix
Member
Registered: 2013-02-25
Posts: 10

Re: Mixture

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

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#4 2013-02-25 06:43:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#5 2013-02-25 06:45:32

johnphoenix
Member
Registered: 2013-02-25
Posts: 10

Re: Mixture

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

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#6 2013-02-25 06:48:30

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#7 2013-02-25 06:51:24

johnphoenix
Member
Registered: 2013-02-25
Posts: 10

Re: Mixture

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

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#8 2013-02-25 06:55:06

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

Re: Mixture

Did you copy the question exactly?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#9 2013-02-25 06:59:14

johnphoenix
Member
Registered: 2013-02-25
Posts: 10

Re: Mixture

yes mate ;

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#10 2013-02-25 07:00:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#11 2013-02-25 07:03:10

johnphoenix
Member
Registered: 2013-02-25
Posts: 10

Re: Mixture

I guess they want fraction of milk  hmm Sorry mate

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#12 2013-02-25 07:05:53

johnphoenix
Member
Registered: 2013-02-25
Posts: 10

Re: Mixture

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

And ques is exactly quoted

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#13 2013-02-25 07:07:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

Re: Mixture

What is Allegation?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#14 2013-02-25 07:12:24

johnphoenix
Member
Registered: 2013-02-25
Posts: 10

Re: Mixture

Alligation is a method of solving mixture ques.

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#15 2013-02-25 07:14:50

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

Re: Mixture

I agree it is 1 /3  by calculation.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#16 2013-02-25 07:33:05

johnphoenix
Member
Registered: 2013-02-25
Posts: 10

Re: Mixture

Please state the calculation

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#17 2013-02-25 07:34:17

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#18 2013-02-25 07:35:36

johnphoenix
Member
Registered: 2013-02-25
Posts: 10

Re: Mixture

ok smile

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#19 2013-02-25 07:45:26

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,249

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 (2013-02-25 07:51:57)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Offline

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