SOLUTION: A coffee merchant combines coffee costing $6 per pound with coffee cost $3.50 per pound. How many pounds of each should be used to make 50lb of a blend costing $4.20 per pound?

Question 755849: A coffee merchant combines coffee costing $6 per pound with coffee cost $3.50 per pound. How many pounds of each should be used to make 50lb of a blend costing $4.20 per pound?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of $6/pound coffee needed
Let = pounds of $3.50/pound coffee needed
= cost of $6/pound coffee in blend
= cost of $3.50/pound coffee in blend
----------------
(1)
(2)
----------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
14 pounds of $6/pound coffee are needed
36 pounds of $3.50/pound coffee are needed
check:
(2)
(2)
(2)
(2)
(2)
OK

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