Question

The nutty professor sells cashews for $7.40 per pound and Brazil nuts for $4.30 per pound how much of each type should be used to make a 37 pound mixture that sells for $5.56

per pound round answers to the nearest pound

Answer 1

9514 1404 393

Answer:

• 15 pounds of cashews
• 22 pounds of Brazil nuts

Explanation:

Let c represent the weight of cashews in the mix. Then 37-c is the weight of Brazil nuts. The cost of the mix is ...

7.40c +4.30(37 -c) = 5.56(37)

3.10c +159.10 = 205.72 . . . . . simplify

3.10c = 46.62 . . . . . . . . . . . . . subtract 159.10

c = 15.0387 ≈ 15

15 pounds of cashews and 22 pounds of Brazil nuts should be used to make the mix.