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How many kilograms of a 15% salt solution must be added to 5 kilograms

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Bunuel
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How many kilograms of a 15% salt solution must be added to 5 kilograms [#permalink] New post   13 Jan 2021, 02:45
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How many kilograms of a 15% salt solution must be added to 5 kilograms of a solution that is 8% salt so that the resulting solution is 10% salt?

A. 1
B. 1.5
C. 2
D. 2.5
E. 3
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C
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CrackverbalGMAT
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Re: How many kilograms of a 15% salt solution must be added to 5 kilograms [#permalink] New post   13 Jan 2021, 03:50
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Average Concentration = (C1Q1 + C2Q2) / (Q1 + Q2)

Let the quantity be x.

10 = (8 * 5 + 15x) / (5 + x)

50 + 10x = 40 + 15x

5x = 10

x = 2


Option C

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meanup
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Re: How many kilograms of a 15% salt solution must be added to 5 kilograms [#permalink] New post   14 Jan 2021, 01:33
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Using allegation and mixture
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Bunuel
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Re: How many kilograms of a 15% salt solution must be added to 5 kilograms [#permalink] New post   20 Jan 2021, 02:45
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Bunuel wrote:
How many kilograms of a 15% salt solution must be added to 5 kilograms of a solution that is 8% salt so that the resulting solution is 10% salt?

A. 1
B. 1.5
C. 2
D. 2.5
E. 3


Veritas Prep Official Explanation



Create a starting equation that accounts for the current conditions: (.4 Kilograms Salt)/(5 Kilograms Total) = 8%. Since you are now adding 15% salt solution instead of pure salt, you must put all of what you add in the denominator but only the salt portion in the numerator: (.4 + .15x)/(5 + x) = 1/10. Cross-multiply to get 4 + 1.5x = 5 + x, so .5x = 1 and x = 2.
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Re: How many kilograms of a 15% salt solution must be added to 5 kilograms [#permalink] New post   28 Jan 2021, 05:20
meanup wrote:
Using allegation and mixture


meanup why are you multiplying by 1 ?
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meanup
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How many kilograms of a 15% salt solution must be added to 5 kilograms [#permalink] New post   28 Jan 2021, 06:25
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dave13 wrote:
meanup wrote:
Using allegation and mixture


why are you multiplying by 1 ?


Given, 5 kilograms of a solution that is 8% salt. Therefore we are substituting the value 5 kg for the 8% solution here. \(\frac{5}{5}=1\) We are now multiplying 1 with the second solution i.e. 15% salt first solution.
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erv20
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Re: How many kilograms of a 15% salt solution must be added to 5 kilograms [#permalink] New post   29 Jan 2021, 10:30
meanup wrote:
Using allegation and mixture

can you please explain what you mean in this picture?
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meanup
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Re: How many kilograms of a 15% salt solution must be added to 5 kilograms [#permalink] New post   29 Jan 2021, 10:40
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erv20 wrote:
meanup wrote:
Using allegation and mixture

can you please explain what you mean in this picture?


Here is a better explanation for the above question. Let me know if you need any clarification.
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KIP22
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How many kilograms of a 15% salt solution must be added to 5 kilograms [#permalink] New post   04 Apr 2023, 00:13
[/quote]

Let y be the solution to be added to the 5kg that is 8% salt.

then :
8%(5kg)+15%(y) = 10%(5kg+y)

==>0.4kg+0.15y=0.1(5kg+y)

0.4kg+0.15y=0.5kg+0.1y

0.05y=0.1kg.

==>y=(0.1kg/0.05)=2kg

Ans.C
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Divyasharks
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Re: How many kilograms of a 15% salt solution must be added to 5 kilograms [#permalink] New post   03 May 2023, 03:32
meanup wrote:
Using allegation and mixture

Can u please share a link where i can learn this
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Re: How many kilograms of a 15% salt solution must be added to 5 kilograms [#permalink]
03 May 2023, 03:32
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