math help alegbra

Question

A merchant mixed 12 lb of a cinnamon tea with 4 lb of spice tea. The 16-pound mixture cost $26. A second mixture included 14 lb of the cinnamon tea and 6 lb of the spice tea. The 20-pound mixture cost $33. Find the cost per pound of the cinnamon tea and of the spice tea.

Answer 1

12c +4t = 26

3c + t = 26/4 =6.5

18c +6t = 6(6.5) = 39

14c+6t = 33

subtract

4c = 6

c=6/4 = $1.50 per pound cinnamon tea

t = 6.5-3(1.5) = $2.00 per pound spice tea

12(1.5 + 4(2)

= 18+8

= 26

14(1.5) + 6(2)

= 21 +12 = 33