SOLUTION: you obtain 6 grams of a 7 % saline solution from a mixture of a 4 % saline solution. How much of the 14% saline solution is used in the mixture?

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Question 561085: you obtain 6 grams of a 7 % saline solution from a mixture of a 4 % saline solution. How much of the 14% saline solution is used in the mixture?
Answer by Maths68(1474) About Me  (Show Source):
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Solution A
Amount = x grams
Concentration =4% =0.04

Solution B
Amount = 6-x grams
Concentration =14% = 0.14
Resultant Solution
Amount =6 grams
Concentration =7%=0.07
[Amount Solution A * Concentration A] + [Amount Solution B * Concentration of B] = Amount of Resultant * Concentration of resultant
x*0.4+(6-x)*0.14 = 6*0.07
0.04x+0.84-0.14x=0.42
0.04x-0.14x=-0.42-0.84
-0.1x=-0.42
-0.1x/-0.1=-0.42/0.1
x=4.2 grams



Solution A
Amount = x grams = 4.2 grams
Concentration =4% =0.04

Solution B
Amount = 6-x grams = 6-4.2 = 1.8 grams
Concentration =14% = 0.14



1.8 grams of 14% saline solution is used in the mixture.