The Nut Shack sells hazelnuts for $6.30 per pound and peanuts nuts for $4.20 per pound. How much of each type should be used to make a 43 pound mixture that sells for $5.13 per pound?

Question

lbs of hazelnuts

lbs of peanut nuts

Answer 1

6.3x +4.2(43-x) = 5.13(43)

solve for x= the pounds of $6.30 hazelnuts

and 43-x = pounds of $4.20 peanuts

to get a mixture of 43 pounds of $5.13 cost

expand, solve for x = 9.64 pounds

43-x= 43-9.64 = 33.36 pounds