Question 712509
Assign some variables to everyting.

M=600 ml. result solution
u= volume of 35% solution
v = volume of 60% solution
T = 45% solution wanted
L = 35%
H = 60%
You want to find u and v.


The concentration equation symbolically can begin as {{{(Lu+Hv)/(u+v)=T}}}.
Also fact is u+v=M.  Solve this simpler one for v, to have v=M-u; substitute this into the rational equation, solve for u, and you will have, after algebraic steps:
{{{highlight(u=M(H-T)/(H-L))}}}, substitute the given values to find value for u, and then go back to {{{highlight(v=M-u)}}} and get the value for v.


SUBSTITUTING VALUES TO GET u:
{{{(60-45)*600/(60-35)=u}}},....