Anut wholesaler sells a mix of peanuts and cashews. the wholesaler charges $2.80 per pound for peanuts and $5.30 per pound for cashews. the mix is to sell for $3.30 per pound. how many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix?

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

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