SOLUTION: The Manager of a bulk foods establishment sells a trail mix for $8 per pound and premium cashews for $14 per pound. The manager wishes to make a 225-pound trail mix-cashew mixture

Question 600774: The Manager of a bulk foods establishment sells a trail mix for $8 per pound and premium cashews for $14 per pound. The manager wishes to make a 225-pound trail mix-cashew mixture that will sell for $11 per pound. how many pounds of each should be used?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of trail mix needed
Let = pounds of cashews needed
= cost of trail mix used
= cost of cashews used
---------
(1)
(2)
---------
(2)
(2)
multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
112.5 pounds of each should be used
check:
(2)
(2)
(2)
(2)
OK
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