Question 112369
YOU DO THE TABLE
Let x=amount of pure alcohol needed

Now we know that the amount of pure alcohol needed (x) plus the amount of pure alcohol in the 8% solution (0.08*2) has to equal the amount of pure alcohol in the final solution (0.35(2+x)).  So our equation to solve is:

x+0.08*2=0.35(2+x)  get rid of parens and simplify
x+0.16=0.7+0.35x  subtract 0.16 and also 0.35x from both sides

x+0.16-0.16-0.35x=0.7-0.16 collect like terms

0.65x=0.54  divide both sides by 0.65

x=0.83077-- liters----------------------amount of pure alcohol needed


CK
0.83077+0.16=0.7+0.35*0.83077

0.990769=0.990769


Hope this helps---ptaylor