Let p be the number of pounds of peanuts and c the number of pounds of cashews
If a 100-pound mix is to sell for $3.30 per pound
Then the total value of the mix would be $3.30 x 100 = $330,
so we have
2.80*p + 5.30*c = 330 ------ (1)
We also know that the total mix is 100 pounds, so:
p + c = 100 ------------- (2)
Solving these system of equations we have that c=20 and p =100 - c from
(2)
p = 80 pound of peanuts