Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#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

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

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 agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#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

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

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 agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#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

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

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 agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#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

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

Re: Mixture

Did you copy the question exactly?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

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

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

Re: Mixture

yes mate ;

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

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 agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#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

Offline

#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

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

Re: Mixture

What is Allegation?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#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.

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

Re: Mixture

I agree it is 1 /3  by calculation.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

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

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

Re: Mixture

Please state the calculation

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

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 agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

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

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

Re: Mixture

ok smile

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,758

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

Board footer

Powered by FluxBB