Question 262723
The Nutty Professor sells cashews for $6.75 per pound and Brazil nuts for
$5.00 per pound. How much of each type should be used to make a 50-lb
mixture that sells for $5.70 per pound? 
.
Let x = pounds of $6.75 per pound cashews
then
50-x = pounds of $5.00 Brazil nuts
.
6.75x + 5(50-x) = 5.70(50)
6.75x + 250-5x = 285
1.75x + 250 = 285
1.75x = 35
x = 35/1.75
x = 20 pounds (cashews)
.
Brazil nuts:
50-x = 50-20 = 30 pounds (Brazil nuts)