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

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

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29 Dec 2017, 09:58
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25% (medium)

Question Stats:

76% (01:48) correct 24% (02:01) wrong based on 67 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

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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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29 Dec 2017, 10:03
1
$$\frac{x}{100}$$* 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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29 Dec 2017, 11:32
1
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)

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

$$\frac{15}{100}x + 2 = 5$$

$$\frac{15}{100}x= 3$$

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

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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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31 Dec 2017, 11:38
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%

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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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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%
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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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16 May 2019, 13:11
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Re: If Adrian mixes 15 liters of saline solution A with 5 liters of a 40%   [#permalink] 16 May 2019, 13:11
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# If Adrian mixes 15 liters of saline solution A with 5 liters of a 40%

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