Solve the problem.

Question

The manager of a bulk foods establishment sells a trail mix for​ $7 per pound and premium cashews for​ $12 per pound. The manager wishes to make 100 pounds of a trail​ mix-cashew mixture that will sell for​ $11 per pound. How many pounds of each should be​ used?

Answer 1

X = pounds of cashews

Y = pounds of trail mix

100 = X + Y

(12X + 7Y)/100 = 11

Solve the system of equations to get

X = 80 and Y = 20.

Therefore you will need 80 pounds of cashews and 20 pounds of trail mix.