Question 313284
1.{{{80A+30B=62(200)}}}
2.{{{A+B=200}}}
Multiply eq.2 by {{{-30}}} and add the equations together.
{{{80A+30B-30A-30B=62(200)-30(200)}}}
{{{50A=32(200)}}}
{{{A=32(4)}}}
{{{highlight( A-128)}}}
Then from eq. 2,
{{{128+B=200}}}
{{{highlight( B=72)}}}
128 liters of 80% solution and 72% of the 30% solution.