SOLUTION: Alan's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Alan $4.20 per pound, and type B coffee costs $5.30 per pound. This month, Alan made

Question 815076: Alan's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Alan $4.20 per pound, and type B coffee costs $5.30 per pound. This month, Alan made 156 pounds of the blend, for a total cost of 756.40 . How many pounds of type B coffee did he use?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of type A coffee needed
Let = pounds of type B coffee needed
------------
(1)
(2)
------------------------
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
He used 92 pounds of type B coffee
check:
(2)
(2)
(2)
OK
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