SOLUTION: A merchant mixed 8 lb of a cinnamon tea with 4 lb of spice tea. The 12-pound mixture cost $38. A second mixture included 10 lb of the cinnamon tea and 12 lb of the spice tea. The 2

Question 584607: A merchant mixed 8 lb of a cinnamon tea with 4 lb of spice tea. The 12-pound mixture cost $38. A second mixture included 10 lb of the cinnamon tea and 12 lb of the spice tea. The 22-pound mixture cost $72. Find the cost per pound of the cinnamon tea and of the spice tea.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = cost/pound of cinnamon tea
Let = cost/pound of spice tea
(1)
and
(2)
-------------------
Multiply both sides of (1) by
and subtract (2) from (1)
(1)
(2)

and
(1)
(1)
(1)
(1)
The cost/pound of cinnamon tea is $3
The cost/pound of spice tea is $3.50
check:
(2)
(2)
(2)
OK
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