Question 1017066
A merchant mixed 8 lb of a cinnamon tea with 2 lb of spice tea. The 10-pound mixture cost $16. A second mixture included 12 lb of the cinnamon tea and 14 lb of the spice tea. The 26-pound mixture cost $46. Find the cost per pound of the cinnamon tea and of the spice tea.
let c=cost per pound of cinnamon tea
let s=cost per pound of spice tea

8c+2s=16
12c+14s=46

56c+14s=112
12c+14s=46
subtract:
44c=66
c=66/44
c=1.50
2s=16-8c
2s=4.00
s=2.00
cost per pound of cinnamon tea=$1.50
cost per pound of spice tea=$2.00