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How many ounces of a solution that is 30 percent salt must be added to

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Math Expert
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Joined: 02 Sep 2009
Posts: 54419
How many ounces of a solution that is 30 percent salt must be added to  [#permalink]

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New post 14 Apr 2019, 04:20
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Difficulty:

  25% (medium)

Question Stats:

92% (01:13) correct 8% (03:46) wrong based on 13 sessions

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CEO
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Joined: 18 Aug 2017
Posts: 3016
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
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Re: How many ounces of a solution that is 30 percent salt must be added to  [#permalink]

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New post 14 Apr 2019, 04:33
Bunuel wrote:
How many ounces of a solution that is 30 percent salt must be added to a 50-ounce solution that is 10 percent salt so that the resulting solution is 20 percent salt?

(A) 20
(B) 30
(C) 40
(D) 50
(E) 60



let x ounces of solution be added

amount of the salt in the resulting solution: 5+0.30x
amount of the resulting solution: 50+x
20% = 20/100; 1/5
given (5+0.30x)/(50+x)=1/5
=>3/2*x-x=50-25
=> x=50
IMO D
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Intern
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Joined: 28 Aug 2016
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How many ounces of a solution that is 30 percent salt must be added to  [#permalink]

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New post 14 Apr 2019, 16:09
Bunuel wrote:
How many ounces of a solution that is 30 percent salt must be added to a 50-ounce solution that is 10 percent salt so that the resulting solution is 20 percent salt?

(A) 20
(B) 30
(C) 40
(D) 50
(E) 60



Solution 1/ Solution 2 = 30% - 20% / 20% - 10% = 1/1. So if Solution 1 is 50 ounces, Solution 2 should also be 50 ounces
VP
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Joined: 07 Dec 2014
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How many ounces of a solution that is 30 percent salt must be added to  [#permalink]

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New post 14 Apr 2019, 16:59
Bunuel wrote:
How many ounces of a solution that is 30 percent salt must be added to a 50-ounce solution that is 10 percent salt so that the resulting solution is 20 percent salt?

(A) 20
(B) 30
(C) 40
(D) 50
(E) 60


let x=ounces of 30% solution to be added
.3x+.1*50=.2(x+50)
x=50
D
GMAT Club Bot
How many ounces of a solution that is 30 percent salt must be added to   [#permalink] 14 Apr 2019, 16:59
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How many ounces of a solution that is 30 percent salt must be added to

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