Question 160734
Let X be the volume of 44% solution and Y the volume for 92% solution,
The total volume equation is
1.{{{X+Y=120}}}
The total concentration equation is
2.{{{0.44X+0.92Y=0.60(120)}}}
Multiply both sides by 100 to get rid of decimals,
2.{{{44X+92Y=7200}}}
Use eq. 1 to get X in terms of Y,
1.{{{X+Y=120}}}
{{{X=120-Y}}}
Now substitute into eq. 2,
2.{{{44X+92Y=7200}}}
{{{44(120-Y)+92Y=7200}}}
{{{5280-44Y+92Y=7200}}}
{{{48Y=1920}}}
{{{Y=40}}}
From eq. 1,
{{{X=120-Y}}}
{{{X=120-40}}}
{{{X=80}}}
Use 80 ml of 44% solution and 40 ml of 92% solution.