Question

A merchant mixed 20 pounds of a cinnamon tea with 10 pounds of a spice tea. The 30-pound mixture sells for $80. A second

mixture included 12 pounds of the cinnamon tea and 8 pounds of the spice tea. The 20-pound mixture sells for $54. What is the
price per pound of the cinnamon tea?
A.$3.50
B.$2.50
C.$5.50
D.$0.50

Answer 1

Answer:10x+2y=38, where x is the dollar cost of cinnamon and y the dollar cost of the spice.1

6x+8y=80multiply the top by -4-40x-8y=-15216x+8y=80.

Add them and y is eliminated.-24x=-72

Explanation: