I need help with this Nut Shack math problem

Question

The Nut Shack sells hazelnuts for $7.50 per pound and peanuts nuts for $5.30 per pound. How much of each type should be used to make a 32 pound mixture that sells for $6.13 per pound?

Answer 1

7.5h+5.3p =6.13m

7.5h+5.3(32-h)= 6.13(32)

2.2h = .83(32)

h= .83(16)/1.1= 1.2.8/1.1=12.0727272...

=about 12.1 lbs hazel

p=32-.83(16)/1.1= about 19.9 lbs peanut

6.13-5.3=.83

7.5-6.13=1.37

1.37/.83=about 1.65= 19.9/12.1