Question 636254
Solution A
===========
Amount = x gallons
Concentration = 61%=0.61




Solution B
===========
Amount = 68-x 
Concentration = 27%=0.27


Mixture
=======
Amount = 68 gallons
Concentration = 44% = 0.44



(Amount of Solution A)(Concentration of Solution A)+(Amount of Solution B)(Concentration of Solution B)=(Amount of Mixture)(Concentration of Mixture)
(x)(0.61)+(68-x)(0.27)=(68)(0.44)
0.61x+18.36-0.27x=29.92
0.34x+18.36=29.92
0.34x=29.92-18.36
0.34x=11.56
0.34x/0.34=11.56/0.34
x=34




Solution A
===========
Amount = x = 34 gallons
Concentration = 61%=0.61
Solution B
===========
Amount = 68-x = = 68-34 = 34 gallons
Concentration = 27%=0.27
Mixture
=======
Amount = 68 gallons
Concentration = 44% = 0.44



 34 gallons of each should be used.