Ned the owner of Neds Nut Shop sells peanuts for 7 per pound

Ned, the owner of Ned\'s Nut Shop, sells peanuts for $7 per pound and cashews for $6 per pound. Ned wants to create a 20 pound barrel of mixed nuts and sell it for $6.55 per pound. How many pounds of peanuts and cashews should Ned use? Ned should mix pounds of peanuts and pounds of cashews to make 20 pounds of a blend that sells for $6.55 per pound.

Solution

lets say

Ned should mix X pounds of peanuts and Y pounds of cashews

now, X + Y = 20 ------------(1)

and 7X = 6Y ------------(2)

solve both equation

X = 9.23 pounds and Y = 10.769 pounds (answers)