Question 389463
Let A be the amount of 14% alcohol solution, B the amount of 22% solution.
1.{{{A+B=200}}}
.
.
{{{14A+22B=17.6(200)}}}
2.{{{7A+11B=1760}}}

Multiply eq. 1 by (-7) and add to eq. 2,
{{{-7A-7B+7A+11B=-1400+1760}}}
{{{4B=360}}}
{{{highlight(B=90)}}}ml
Then from eq. 1,
{{{A+90=200}}}
{{{highlight(A=110)}}}ml