How much of each type should be used to make a 23 pound mixture that sells for $5.62 per pound?

Question

The Nutty Professor sells cashews for $6.30 per pound and Brazil nuts for $5.10 per pound. How much of each type should be used to make a 23 pound mixture that sells for $5.62 per pound?

Round answers to the nearest pound.

Answer 1

c = amount of cashews

23 - x = amount of Brazils

 

6.3c + 5.1(23 - c) = 5.62(23)

6.3c + 117.3 - 5.1c = 129.26

1.2c = 11.96

c ≈ 9.966

 

Ten pounds of cashews and thirteen pounds of Brazils should be used.