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Mixture Percent

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Manager
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Mixture Percent [#permalink] New post 07 Sep 2009, 05:49
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

57% (02:29) correct 42% (00:42) wrong based on 7 sessions
How many liters of a solution that is 10% salt must be added to 3 liters of a solution that is 15% salt so that the resulting solution is 12% salt?

A) 3
B) 3.75
C) 4
D) 4.75
E) 5
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Re: Mixture Percent [#permalink] New post 07 Sep 2009, 06:37
The answer must be 4.5 ltr. Could you please recheck the options?

10*x + 15*3 = 12*(x+3)
solving above equation, we get x = 4.5
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Re: Mixture Percent [#permalink] New post 07 Sep 2009, 06:52
The right answer is D acording to the book

Any help?
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Re: Mixture Percent [#permalink] New post 07 Sep 2009, 08:12
TheRob wrote:
The right answer is D acording to the book

Any help?


If considered as approximation.
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Re: Mixture Percent [#permalink] New post 14 Aug 2010, 01:25
The options given are wrong, answer has to be 4.5. Solve using allegation matrix rule
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Re: Mixture Percent [#permalink] New post 14 Aug 2010, 01:33
what is the allegation matrix rule?
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Re: Mixture Percent [#permalink] New post 04 Sep 2010, 23:54
mainhoon wrote:
what is the allegation matrix rule?


Allegation Matrix rule: To find out the new value after two quantities are mixed in said propotion we can represent the rule pictorially:
Attachment:
Matrix rule.doc [20 KiB]
Downloaded 60 times
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Substitute the values and solve for the equation:

10................15
.........12

3/x..... : ......2/3
so x= 9/2 = 4.5 %

Sorry about the untidy formating.Am still naive in GMATclub
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Re: Mixture Percent [#permalink] New post 05 Sep 2010, 00:07
oldstudent wrote:
mainhoon wrote:
what is the allegation matrix rule?


Allegation Matrix rule: To find out the new value after two quantities are mixed in said propotion we can represent the rule pictorially:
Attachment:
Matrix rule.doc


Substitute the values and solve for the equation:

10................15
.........12

3/x..... : ......2/3
so x= 9/2 = 4.5 %

Sorry about the untidy formating.Am still naive in GMATclub


Try using the table code to format your answer.





Allegation Matrix Rule
1015
12
******
3/x2/3

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Re: Mixture Percent [#permalink] New post 06 Sep 2010, 07:33
oldstudent wrote:
mainhoon wrote:
what is the allegation matrix rule?


Allegation Matrix rule: To find out the new value after two quantities are mixed in said propotion we can represent the rule pictorially:
Attachment:
Matrix rule.doc


Substitute the values and solve for the equation:

10................15
.........12

3/x..... : ......2/3
so x= 9/2 = 4.5 %

Sorry about the untidy formating.Am still naive in GMATclub


did you mean 3/x = 2/3 or 3/x:2/3?
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Re: Mixture Percent [#permalink] New post 07 Sep 2010, 01:55
4.5 it is. Let volume to be added be V.

then equating the salt content in both:
V*0.1 + 3 *0.15 = (3+V)*0.12
V = 4.5 lts.

Could you post the original solution? I want to see how 4.75 is arrived at.

Thanks.
Re: Mixture Percent   [#permalink] 07 Sep 2010, 01:55
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