SOLUTION: A coffee merchant combines coffee costing $6.00 per pound with coffee costing $4.50 per pound. How many pounds of each should be used to make 30 lb of a blend costing $5.20 per pou

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Question 703523: A coffee merchant combines coffee costing $6.00 per pound with coffee costing $4.50 per pound. How many pounds of each should be used to make 30 lb of a blend costing $5.20 per pound?
Answer by nshah11(47) About Me  (Show Source):
You can put this solution on YOUR website!
Assume x lbs of $6/lb is coffee is mixed while (30 - x) lbs of $4.5/lb coffee is mixed.
(6x + 4.5(30 - x))/30 = 5.2
1.5x + 135 = 156
x = 21(2/3) = 14 lbs
30 - x = 16 lbs