Answer
35.9 pounds of mixed nuts, 4.1 pounds of macadamia nuts
Work Step by Step
macadamias are 16.50/pound (x)
mixed nuts are 9.25/pound (y)
$16.5*x+9.25*y=10*(x+y)$
$x+y=40$
$16.5x+9.25y=10x+10y$
$6.5x-.75y=0$
$x+y=40$
$6.5x-.75y=0$
$x+y=40$
$x=40-y$
$6.5x-.75y=0$
$6.5*(40-y)-.75y=0$
$260-6.5y-.75y=0$
$260 = 7.25y$
$260/7.25 =7.25y/7.25$
$35.86 =y$
$x+y=40$
$x+35.86=40$
$x=4.14$
