Problema Solution
The manager of a bulk foods establishment sells a rail mix for $7 per pound and a premium cashews for $12 per pound. The manager wishes to make a 50 pound trail mix-cashew mixture that will sell for $11 per pound. How many pounds of each should be used?
Answer provided by our tutors
let 'x' represent percentage of $7 per pound mix, then '1-x' represents the percentage of $12 per pound mix:
11 = 7x + 12(1-x)
solving for 'x' we have x=0.2
the mixture should have 20% of the $7 mix and 80% of the $12 mix
0.2 * 50 = 10
0.8 * 50 = 40
10 pounds of the $7 mix and 40 pounds of the $12 mix should be used