Question

The Nutty Professor sells cashews for $6.80 per pound and Brazil nuts for $5.50 per pound. How much of each type should be used to make a 33 pound mixture that sells for $5.89 per pound

Answer 1

9.9 lb of cashews and 23.1 lb of Brazil nuts

Explanation:

cashews×$6.80 + Brazil nuts×5.50 = 33 lb × $5.89

C +B = 33lb

C = 33 - B

(33-B)(6.80) + B(5.50) = $194.37

224.4 - 6.80B + 5.50B = 194.37

-1.3B = -30.03

B = 23.1

C = 33 - 23.1

C = 9.9