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#1 2013-02-26 05:26:15
- johnphoenix
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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 . 
#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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#15 2013-02-26 06:14:50
- bobbym
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Re: Mixture
I agree it is 1 /3 by calculation.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#17 2013-02-26 06:34:17
- bobbym
- Administrator
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#19 2013-02-26 06:45:26
- bobbym
- Administrator
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.