The Nutty Professor sells cashews for $6.60 per pound and Brazil nuts for $4.40 per pound...

Question

The Nutty Professor sells cashews for $6.60 per pound and Brazil nuts for $4.40 per pound. How much of each type should be used to make a 34 pound mixture that sells for $5.05 per pound?

_____pounds of cashews

_____pounds of Brazil nuts

Answer 1

6.6C + 4.4N = 5.05(34

6.6C + 4.4(34-C) = 5.05(34)

6.6C - 4.4C = 5.05(34) - 4.4(34)

2.2C = 0.65(34) = 22.1

C =22.1/2.2 =about 10.05 = slightly over 10 lbs of cashews

N= about 23.95 = slightly under 24 lbs of Brazilian Nuts

6.6(10 + 4.4(24) = 66+105.6 = 171.6

5.05(34) = 171.7

6.6 is within 1.55 of 5.05

4.4 is within 0.65 of 5.05

1.55/.65 = 2.4 = 24/10