Jackie wants to make a mixture of nuts to sell in her store consisting of hazelnuts and cashews. hazelnuts cost $6.50 per pound and cashews cost $4.50 per pound. if jackie wants 60 pounds total of mixture and the cost to be $5.10 per pound, how many pounds of each will she need?

Cost of Hazelnuts per pound = $6.50 
Cost of cashews per pound = $4.50 
Total quantity to buy C + H = 60 pounds of mixture 
Cost of the Mixture per pound = $5.10 
6.5H + 4.5C = 60 x 5.10 => 1.3H + 0.9C = 61.2 => 13H + 9C = 612  
We have C + H = 60 => H = 60 - C 
13(60 - C) + 9C = 612 => 780 - 13C + 9C = 612 => 4C = 780 - 612  
=> C = 42, then H = 60 - 42 = 18
 So the mixture will be 42 pounds of cashews and 18 pounds of Hazelnuts.