SOLUTION: Vietnamese cinnamon costs $18 for a pound, and Indonesian cinnamon costs $30 for a pound. Penzey's wants to create a 12 lb mixture of cinnamon that costs $25/lb. How much of each t

Question 899324: Vietnamese cinnamon costs $18 for a pound, and Indonesian cinnamon costs $30 for a pound. Penzey's wants to create a 12 lb mixture of cinnamon that costs $25/lb. How much of each type should they mix together?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of v.c. needed
Let = pounds of i.c. needed
-------------------------------
(1)
(2)
------------------------------
(2)
(2)
(2)
----------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
---------------------

and, since
(1)
(1)
---------------
5 pounds of v.c. are needed
7 pounds of i.c. are needed
-------------------------
check:
(2)
(2)
(2)
(2)
OK

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