If water is to be added to 40 quarts of milk containing 40% of butter fat so as to produce a mixture containing 3% butter fat. How many quarts of water must be added?

need your help on this guys.

thanks

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- Sep 7th 2012, 06:05 AMrcsmixture problem:
If water is to be added to 40 quarts of milk containing 40% of butter fat so as to produce a mixture containing 3% butter fat. How many quarts of water must be added?

need your help on this guys.

thanks - Sep 7th 2012, 06:21 AMemakarovRe: mixture problem:
This thread may give you some ideas.

- Sep 7th 2012, 07:06 AMHallsofIvyRe: mixture problem:
40 quarts of milk containing 40% butter fat has (40)(.4)= 16 quarts of butter fat. If the total liquid, after adding water is "V", then it will be "3% butter fat" if .03V= 16. Can you solve that for V? How much water would you need to add to get from 40 quarts up to V quarts?

- Sep 7th 2012, 09:31 AMqchrisRe: mixture problem:
hi friends,

using allegation formula

40%-3% = 37% : 3%-0%=3%

=> 37:3 = water:milk

=> 37:3 = x:40

=> x= (37*40)/3

water:milk = (40-3)/(3-0)

for more help on alligations and mixtures you can visit sites like numbertwo.com, Alligation or Mixture | Aptitude Question and Answers | Interview Questions with Answers

all the best!! - Sep 7th 2012, 02:01 PMSorobanRe: mixture problem:
Hello, rcs!

I'll give you my approach to these Mixture Problems.

Quote:

Water is to be added to 40 quarts of milk containing 40% of butterfat

so as to produce a mixture containing 3% butterfat.

How many quarts of water must be added?

Since we are adding water, we will consider the amount ofat each stage.*water*

We begin with 40 quarts which is 60% water.

It contains: .$\displaystyle 0.60\times 40 \,=\,24$ quarts of water.

We add $\displaystyle x$ quarts of water.

Then the mixture contains $\displaystyle x + 24$ quarts of water. .[1]

Let's look at the problem again:

We begin with 40 quarts of milk and add $\displaystyle x$ quarts of water.

The mixture contains $\displaystyle x+40$ quarts and is supposed to be 97% water.

That is, it contains: .$\displaystyle 0.97(x+40)$ quarts of water. .[2]

We just described the final amount of water in*two*__ways__

There is our equation! . . . . $\displaystyle x+24 \;=\;0.97(x+40)$

Can you finish up now?

The answer is $\displaystyle 493\tfrac{1}{3}$ quarts of water.

- Sep 8th 2012, 05:07 AMrcsRe: mixture problem:
as i have seen the answer of from the book where this problem was taken, is 13 1/3 quarts of water

- Sep 8th 2012, 05:52 AMHallsofIvyRe: mixture problem:
- Sep 8th 2012, 10:23 PMrcsRe: mixture problem:
HallsofIvy = queer

- Sep 9th 2012, 04:27 AMrcsRe: mixture problem:
sir Soroban how did you get the 0.60 x 40% ... there is no 0.60 in the problem if this happens to the problem

Water is to be added to 40 quarts of milk containing 4% of butterfat

so as to produce a mixture containing 3% butterfat.

How many quarts of water must be added?

what happens to the mixture ... im confused of the solution.