Question 1024013
u quantity of 20% alcohol
v quantity of 35% alcohol


{{{system((20u+35v)/60=25,u+v=60)}}}


{{{(4u+7v)/60=5}}}
{{{4u+7v=300}}}
Use substitution from the volume sum equation:
{{{4(60-v)+7v=300}}}
{{{240-4v+7v=300}}}
{{{3v+240=300}}}
{{{3v=60}}}
{{{highlight(v=20)}}}, twenty fluid ounces of the 35% alcohol;
and from this,
{{{highlight(u=40)}}}, fourty fluid ounces of the 20% alcohol.