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If Adrian mixes 15 liters of saline solution A with 5 liters of a 40%

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Director
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If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink]

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New post 29 Dec 2017, 09:58
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A
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D
E

Difficulty:

  15% (low)

Question Stats:

80% (01:08) correct 20% (00:58) wrong based on 69 sessions

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If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% saline solution to get a 25% saline solution, what percent saline is solution A ?

a. 5
b. 10
c. 15
d. 20
e. 25
[Reveal] Spoiler: OA

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Re: If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink]

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New post 29 Dec 2017, 10:03
\(\frac{x}{100}\)* 15 + \(\frac{40}{100}\)* 5 = \(\frac{25}{100}\) * 20

\(\frac{x}{100}\) * 15 + 2 = 5

\(\frac{x}{100}\) = \(\frac{3}{15}\)

x = 20 %
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If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink]

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New post 29 Dec 2017, 11:32
QZ wrote:
If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% saline solution to get a 25% saline solution, what percent saline is solution A ?

a. 5
b. 10
c. 15
d. 20
e. 25

Let x/100 = unknown percent saline in solution A
% = percent saline in each solution

(% A)(Vol A) + (% B)(Vol B) = (% A+B)(Vol A+B)

\(\frac{x}{100}(15) + .40(5) = .25(15 + 5)\)

\(\frac{15}{100}x + 2 = 5\)

\(\frac{15}{100}x= 3\)

\(x = (3 * \frac{100}{15}) = 20\)

Answer D
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Re: If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink]

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New post 31 Dec 2017, 11:38
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QZ wrote:
If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% saline solution to get a 25% saline solution, what percent saline is solution A ?

a. 5
b. 10
c. 15
d. 20
e. 25



Ratio in which Solution A and Other solution was mixed = 15: 5 = 3: 1

Saline Concentration of Solution A = x

Saline Concentration of Other Solution = 40%

Overall Concentration = 25%

Using Alligation we can write -

(40-25): ( 25 - x) = 3: 1

15 = 75 - 3x

3x = 60

x = 20%

Correct Answer is Option D.


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Re: If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% [#permalink]

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New post 31 Dec 2017, 13:03
QZ wrote:
If Adrian mixes 15 liters of saline solution A with 5 liters of a 40% saline solution to get a 25% saline solution, what percent saline is solution A ?

a. 5
b. 10
c. 15
d. 20
e. 25


let x=saline % of A
15*x+5*.4=20*.25
x=1/5=20%
D
Re: If Adrian mixes 15 liters of saline solution A with 5 liters of a 40%   [#permalink] 31 Dec 2017, 13:03
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If Adrian mixes 15 liters of saline solution A with 5 liters of a 40%

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