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Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram

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Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 08 Nov 2010, 14:02
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Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid X?

A. 30%
B. 33 1/3%
C. 37 1/2%
D. 40%
E. 50%

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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 06 Apr 2012, 13:19
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rovshan85 wrote:
Solution Y is 30% liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kg of solution Y and 2 kg of solution Y are added to the remaining 6 kg of liquid, what percent of this new solution is liquid X?

a. 30
b. 33 1/3
c. 37 1/2
d. 40
e. 50

What is the easiest way to approach this type of problem and solve under 2 min.


In 8 kilograms of solution Y there are 0.3*8=2.4 kilograms of solution X;

After 2 kilograms of water are replaced by 2 kilograms of solution Y, to the existing 2.4 kilograms of solution X, 0.3*2=0.6 kilograms of solution X are added, so in the new solution of 8 kilograms there are 2.4+0.6=3 kilograms of solution X, which is 3/8*100=37.5% of this new solution.

Answer: C.
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 08 Nov 2010, 14:16
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At the beggining, you have 8KG of solution Y, i.e.

70% * 8KG = 5,6 KG of Water
30% * 8KG = 2,4 KG of X

2KG of water evaporate:

5,6KG - 2KG = 3,6KG of Water
2,4KG of X

2KG of liquid are added:

3,6KG + 2*0,70 = 5KG of Water
2,4KG + 2*0,30 = 3 KG of X

So you have 3KG of X in 8KG (3 + 5) solution.
Therefore X concentration is 3/8 = 37,5%
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 09 Nov 2010, 00:01
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Answer:C
Took time to solve this one, the statement 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid was confusing to me. After thinking more deeply, it was clear to me that new 2 kg of solution Y will also be 30% liquid X and 70% water, and then I was able to get the answer. That was a bit tricky and nice question.
Kudos +1 for posting the question :)
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 09 Nov 2010, 00:25
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Initially you start with 8kg of solution which has 2.4kg of X and 5.6kg of water
Post evaporation : 2.4kg of X and 3.6kg of water
Now we add back 2kg of Y --> 1.4Kg water + 0.6Kg X
So we have left 5Kg Water & 3Kg X

Percentage concentration is (3/5)*100 or 37.5%
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 09 Nov 2010, 00:43
shrouded1 wrote:
Initially you start with 8kg of solution which has 2.4kg of X and 5.6kg of water
Post evaporation : 2.4kg of X and 3.6kg of water
Now we add back 2kg of Y --> 1.4Kg water + 0.6Kg X
So we have left 5Kg Water & 3Kg X

Percentage concentration is (3/5)*100 or 37.5%

Yea, that's exactly how I solved but you know at first I was kinda adding 2 to 6 kg without considering liquid X and water's concentration within 2 kg being added.
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 10 Dec 2011, 13:51
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Liquid x in 8 kg = 8*30%=12/5
Liquid x in next 2 kg = 2*30% = 3/5
Total x = 12/5 + 3/5 = 15/5 = 3
so, (3/8)*100= 37.5%
Ans. C
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 11 Dec 2011, 23:43
Initially we have 8kg of solution which has 3/10 0f 8= 2.4kg of X and 7/10 of 8 = 5.6kg of water after evaporation : 2.4kg of X and 3.6kg of water
Now we added 2kg of solution Y --> 7/10 of 2=1.4Kg water + 3/10 0f 2 =0.6Kg X
So we have left 5Kg Water & 3Kg X

Percentage concentration is (3/5)*100 or 37.5%
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 02 Jun 2012, 09:51
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Solution Y total = 8
Liq x = 30% (8) = 2.4

Added 2 kg of Solution Y
Liq x = 30% (2) = 0.6

Final Solution wil have = (2.4 + 0.6) = 3 kg of Liq x

3/8 = 37.5%
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 26 Aug 2013, 21:32
1
rovshan85 wrote:
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?

A. 30%
B. 33 1/3%
C. 37 1/2%
D. 40%
E. 50%

What is the easiest way to approach this type of problem and solve under 2 min.


1. The net effect of 2 kg of water evaporating and adding 2 kg of the solution is removing (-2 + 1.4 = -0.6) 0.6 kg of water and adding 0.6 kg of liquid
2 Therefore the changed solution contains, 2.4 + 0.6 = 3 kg of liquid and 5.6-0.6==5 kg of water.
3. Percentage of liquid is 3/8 * 100 % = 37 1/2 %
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 05 Jan 2016, 05:55
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2
rtaha2412 wrote:
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid X?

A. 30%
B. 33 1/3%
C. 37 1/2%
D. 40%
E. 50%


The best way to solve these problems is to take one step at a time

Initial:
8 kg Solution Y
This means Solution X = 2.4 kg, Water = 5.6 kg

Step 2:
2 kg of water is evaporated.
Left over: Solution X = 2.4 kg and Water = 3.6 kg

Step 3:
2 kg of Solutoin Y is added
Or, 0.6 kg of Solution X and 1.4 kg of water is added

Final:
Solution X = 3, Water = 5
% of solution X = 3/8 * 100 = 37.5%

Option C
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 03 May 2016, 07:47
rtaha2412 wrote:
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid X?

A. 30%
B. 33 1/3%
C. 37 1/2%
D. 40%
E. 50%



Hi,

I like using a table for mixture problems. This is what I came up with (see attachement):
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post Updated on: 28 Feb 2018, 22:08
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid X?

A. 30%
B. 33 1/3%
C. 37 1/2%
D. 40%
E. 50%

let x=% of liquid X in new solution
.3*8+.3*2=x(6+2)
x=3/8=37.5%
C

Originally posted by gracie on 18 Jul 2016, 20:23.
Last edited by gracie on 28 Feb 2018, 22:08, edited 1 time in total.
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 22 Sep 2018, 06:52
1
DS00 wrote:
rtaha2412 wrote:
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid X?

A. 30%
B. 33 1/3%
C. 37 1/2%
D. 40%
E. 50%



Hi,

I like using a table for mixture problems. This is what I came up with (see attachement):


I also used the similar approach.
To Sum up:
Initial 8 kilograms of Y consist of 2.4 kg X and 5.6 kg water.
We then lose 2 kg water to evaporation, so we are down to 3.6 kg water.
The final step adds 2 kg Y, which consists of .6 kg X and 1.4 kg water.
Therefore, the final mixture contains 3 kg X and 5 kg water. 3/8 = 37.5%.
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 14 Dec 2018, 00:02
30% of 8 + 30% of 2 = 3 = X
X/T= 3/8 = 0.375 =37.5%

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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 29 Dec 2018, 02:52
rtaha2412 wrote:
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid X?

A. 30%
B. 33 1/3%
C. 37 1/2%
D. 40%
E. 50%

Project PS Butler : Question #106


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8 kg of the solution contains (8*0.3) kg = 2.4 kg of X

again,

2 kg of the add solution which is added will have 2*0.3 = 0.6 kg of X

Total final volume of the solution = 8 kg

Hence, % of X = (2.4+0.6)/8*100 = 3/8 * 100 =3* 12.5 = 37.5 %

Hence C)
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 02 Jan 2019, 20:22
Hello!

Tricky question, these topics is very challenging for me.

Is it possible to solve it with weighted averages?

Kind regards!
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 22 Jan 2019, 17:14
rtaha2412 wrote:
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid X?

A. 30%
B. 33 1/3%
C. 37 1/2%
D. 40%
E. 50%


My reasoning:

8kg original solution is 30% X and 70% water or \(\frac{24}{10}kg liquid X and \frac{56}{10}kg water\)

Since we are looking for the percent of liquid X in our mixture we don't really care about the water in our solution.

We know that the total weight is 8kg and we are adding 2kg of solution Y, which has \(\frac{6}{10}kg liquid X\).

\(\frac{24}{10} + \frac{6}{10} = 3kg\) liquid X in the total solution.

\(\frac{3}{8} = 37.5%\)
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram  [#permalink]

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New post 28 Jan 2019, 14:05
rtaha2412 wrote:
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid X?

A. 30%
B. 33 1/3%
C. 37 1/2%
D. 40%
E. 50%

Project PS Butler : Question #106


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Solution Y is 30 percent liquid X and 70 percent water


Total 8 litres

8 *0.3 = 2.4 kg liquid

5.6 kg = water

2 kilograms of water evaporate from 8 kilograms of solutions Y

so 5.6 -2 = 3.6 water is left

afterwards 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid

Since, solution Y cosists of 30 percent is liquid X and 70 percent is water

hence 2 *0.3 = 0.6 kg is liquid and 2-0.4 = 1.4 is water

2.4 +0.6 = 3 kg liquid

3.6+1.4 = 5 kg water

what percent of this new liquid solution is liquid X?

\(\frac{3}{8} = 0.37\) :grin:
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Re: Solution Y is 30 percent liquid X and 70 percent water. If 2 kilogram   [#permalink] 28 Jan 2019, 14:05
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