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In 70 liters of a mixture of milk and water, the quantity of

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In 70 liters of a mixture of milk and water, the quantity of [#permalink] New post 24 Jan 2012, 13:40
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In 70 liters of a mixture of milk and water ,the quantity of water is 10%. how much water should be added so that new mixture may 25% water.
[Reveal] Spoiler:
14

can it solve through chemical mixture strategy in mgmat guide
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Re: mixture [#permalink] New post 24 Jan 2012, 13:51
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TomB wrote:
In 70 liters of a mixture of milk and water ,the quantity of water is 10%. how much water should be added so that new mixture may 25% water.
[Reveal] Spoiler:
14

can it solve through chemical mixture strategy in mgmat guide


Please post answer choices for PS problems. Also make sure you don't reword the questions you post.

As for the question:
There are 10% of water in 70L --> there are 7L of waters;
After x liters of water is added amount of water becomes (7+x) liters, which on the other hand is 1/4th (25%) of new (70+x) liters of mixture: 7+x=1/4*(70+x) --> 28+4x=70+x --> x=14.

Hope it's clear.
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Re: In 70 liters of a mixture of milk and water, the quantity of [#permalink] New post 25 Jan 2012, 01:16
70 = 0,1W + 0,9M
Water = 7 Liter

New1: Add x-Liter water to increase W% from 10% to 25%
New2:
7+x = (70+x)1/4
-42/4 = -3/4x
14 = x

You need to add 14 Liter of Water to get a total of 21 Liter of Water in 84Liter of mixture
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Re: In 70 liters of a mixture of milk and water, the quantity of [#permalink] New post 25 Jan 2012, 03:36
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In 70 liters of a mixture of milk and water ,the quantity of water is 10%. how much water should be added so that new mixture may 25% water.
[Reveal] Spoiler:
14

can it solve through chemical mixture strategy in mgmat guide


Check out how to handle generic mixture questions here:
http://www.veritasprep.com/blog/2011/04 ... -mixtures/

The formula discussed can be used in a ton of questions including this one. Once you get used to this method of solving, you will pretty much be solving this question orally. After going through the post, see if this makes sense:

Solution 1 has 10% water.
Solution 2 has 100% water. (You are mixing solution 1 with pure water.)
Mixture should have 25% water.
w1/w2 = (100 – 25)/(25 – 10) = 75/15 = 5/1
So volume of solution 1 : volume of water = 5:1
Solution 1 is 70 litres, so 14 litres of water must be added.
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Re: In 70 liters of a mixture of milk and water, the quantity of [#permalink] New post 25 Jan 2012, 08:15
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my way
now water is 7/70
it will be (7+X)/(70+X) and it shoud =1/4.
solve and get the answer
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Re: In 70 liters of a mixture of milk and water, the quantity of [#permalink] New post 25 Jan 2012, 10:43
first the amount of water was 70*10%=7

(7+x)/(70+x)=1/4
x=14
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Re: In 70 liters of a mixture of milk and water, the quantity of [#permalink] New post 26 Jan 2012, 05:25
In 70 ltr solution we have 63 ltr of milk and 7 ltr of water
now we are adding water but the amount of milk remains constant so (70+x)*75/100 = 63 where x is the amount of water added
on solving x=14
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Re: In 70 liters of a mixture of milk and water, the quantity of [#permalink] New post 28 Feb 2012, 17:23
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I draw the solution for you (attached). It might help you understand it a bit easier.
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Re: In 70 liters of a mixture of milk and water, the quantity of [#permalink] New post 29 Feb 2012, 12:18
(7+x)/(70+x)=1/4
Solve for x; x=14
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Re: In 70 liters of a mixture of milk and water, the quantity of [#permalink] New post 15 Apr 2012, 20:44
Karishma,

I found your post on mixtures very useful. I am stuck in the above problem. Please help
I solved w1/w2 to be
(90-25)/(25-10) = 65/15.

Can you please explain how you got 75/15?
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Re: In 70 liters of a mixture of milk and water, the quantity of [#permalink] New post 17 Apr 2012, 10:44
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ENAFEX wrote:
Karishma,

I found your post on mixtures very useful. I am stuck in the above problem. Please help
I solved w1/w2 to be
(90-25)/(25-10) = 65/15.

Can you please explain how you got 75/15?


The two mixtures are: a 10% water solution, only water (which is 100% water)
We combine them to get 25% water solution.
Therefore, it is actually (100 - 25)/(25 - 10) and not (90 - 25)/(25 - 10)
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Re: In 70 liters of a mixture of milk and water, the quantity of [#permalink] New post 13 Oct 2013, 14:55
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Re: In 70 liters of a mixture of milk and water, the quantity of [#permalink] New post 19 Oct 2013, 22:46
TomB wrote:
In 70 liters of a mixture of milk and water ,the quantity of water is 10%. how much water should be added so that new mixture may 25% water.
[Reveal] Spoiler:
14

can it solve through chemical mixture strategy in mgmat guide


@banuel or @veritasprepkarishma please can you modify this problem to include ans choices.
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Re: In 70 liters of a mixture of milk and water, the quantity of [#permalink] New post 20 Oct 2013, 03:11
Expert's post
ankur1901 wrote:
TomB wrote:
In 70 liters of a mixture of milk and water ,the quantity of water is 10%. how much water should be added so that new mixture may 25% water.
[Reveal] Spoiler:
14

can it solve through chemical mixture strategy in mgmat guide


@banuel or @veritasprepkarishma please can you modify this problem to include ans choices.


No answer choices are available for this question.
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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: In 70 liters of a mixture of milk and water, the quantity of   [#permalink] 20 Oct 2013, 03:11
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