Answer
$.3x+.5y=.42$
$x+y=200$
80 liters of 30% and 120 liters of 50%
Work Step by Step
$x$ for 30% insecticide, $y$ for 50% insecticide
$.3x+.5y=.42*200$
$x+y=200$
$x+y=200$
$x=200-y$
$.3(200-y)+.5y=.42*200$
$60 -.3y+.5y = 84$
$60+.2y=84$
$.2y=24$
$y=120$
$x+y=200$
$x+120=200$
$x = 80$