SOLUTION: Please help me solve this problem: A merchant mixed 8 lb of a cinnamon tea with 4 lb of spice tea. The 12-pound mixture cost $14. A second mixture included 12 lb of the cinnamon t

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Please help me solve this problem: A merchant mixed 8 lb of a cinnamon tea with 4 lb of spice tea. The 12-pound mixture cost $14. A second mixture included 12 lb of the cinnamon t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1050527: Please help me solve this problem: A merchant mixed 8 lb of a cinnamon tea with 4 lb of spice tea. The 12-pound mixture cost $14. A second mixture included 12 lb of the cinnamon tea and 12 lb of the spice tea. The 24-pound mixture cost $30. Find the cost per pound of the cinnamon tea and of the spice tea.
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let c be cinnamon tea and s be spice tea. Then:
8c+4s=14
12c+12s=30. Then:
24c+12s=42
12c=12
c=1
s=1.5
Cinnamon tea costs $1/lb., and spice tea costs $1.50/lb. ☺☺☺☺