Mixture

johnphoenix · 2013-02-25 06:26:15

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 .

bobbym · 2013-02-25 06:31:15

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.

johnphoenix · 2013-02-25 06:39:30

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

bobbym · 2013-02-25 06:43:43

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

johnphoenix · 2013-02-25 06:45:32

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

bobbym · 2013-02-25 06:48:30

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.

johnphoenix · 2013-02-25 06:51:24

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

bobbym · 2013-02-25 06:55:06

Did you copy the question exactly?

johnphoenix · 2013-02-25 06:59:14

yes mate ;

bobbym · 2013-02-25 07:00:21

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

johnphoenix · 2013-02-25 07:03:10

I guess they want fraction of milk Sorry mate

johnphoenix · 2013-02-25 07:05:53

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

And ques is exactly quoted

bobbym · 2013-02-25 07:07:21

What is Allegation?

johnphoenix · 2013-02-25 07:12:24

Alligation is a method of solving mixture ques.

bobbym · 2013-02-25 07:14:50

I agree it is 1 /3 by calculation.

johnphoenix · 2013-02-25 07:33:05

Please state the calculation

bobbym · 2013-02-25 07:34:17

Hi;

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

johnphoenix · 2013-02-25 07:35:36

ok

bobbym · 2013-02-25 07:45:26

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)

Math Is Fun Forum

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

Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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

Re: Mixture

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