Question 232371
Let x=amount of pure acid needed
Now we know that the amount of pure acid in the liters that are added (x) plus the amount of pure acid in the 3 liters of 50% solution (0.50*3) has to equal the amount of pure acid in the final mixture (0.75(3+x)).  So our equation to solve is:

x+0.50*3=0.75(3+x)  get rid of parens and simplify
x+1.5=2.25+0.75x subtract 0.75x and also 1.5 from each side
x-0.75x+1.5-1.5=2.25-1.5+0.75-0.75  collect like terms
0.25x=0.75  divide each side by 0.25
x=3 liters-------amount of pure acid needed

CK
3+1.5=0.75*6
4.5=4.5

Hope this helps----ptaylor