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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
Joined: 02 Sep 2009
Posts: 58396
How many ounces of a solution that is 30 percent salt must be added to  [#permalink]

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Updated on: 10 Jul 2019, 04:45
00:00

Difficulty:

5% (low)

Question Stats:

88% (01:15) correct 12% (02:44) wrong based on 43 sessions

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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

Source: Nova GMAT
Difficulty Level: 550

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Originally posted by Bunuel on 14 Apr 2019, 04:20.
Last edited by SajjadAhmad on 10 Jul 2019, 04:45, edited 1 time in total.
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Joined: 18 Aug 2017
Posts: 5027
Location: India
Concentration: Sustainability, Marketing
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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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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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Joined: 28 Aug 2016
Posts: 11
Re: How many ounces of a solution that is 30 percent salt must be added to  [#permalink]

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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
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Joined: 07 Dec 2014
Posts: 1224
Re: How many ounces of a solution that is 30 percent salt must be added to  [#permalink]

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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
Re: 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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