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A laboratory technician needs to make a 39-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acidwith another that is 10% to get the desired concentration?

 Sep 8, 2020
 #1
avatar+126 
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Let there be a liters of full acid, b liters of 10% acid. We have \(a+b=39, \frac{a+0.1b}{a+b}=0.4\rightarrow a+0.1b=15.6\rightarrow \boxed{a=13, b=26}\)

 Sep 8, 2020
edited by thedudemanguyperson  Sep 8, 2020
 #2
avatar+26951 
+1

.10 (x)    +  1.00 (39-x)  = .40  (39)

-.9x = -23.4

x = 26 liters of 10%    13 liters of pure

 Sep 8, 2020

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