SOLUTION: A merchant mixed 15 lb of a cinnamon tea with 10 lb of spice tea. The 25-pound mixture sells for $65. A second mixture included 14 lb of the cinnamon tea and 16 lb of the spice te

Question 866167: A merchant mixed 15 lb of a cinnamon tea with 10 lb of spice tea. The 25-pound mixture sells for $65. A second mixture included 14 lb of the cinnamon tea and 16 lb of the spice tea. The 30-pound mixture sells for $84. Find the cost per pound for the cinnamon and for the spice tea
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
x= cost of cinnamon tea
y= cost of spice tea

15.00 x + 10.00 y = 1,625.00 .............1
Total value
14.00 x + 16.00 y = 2,520.00 .............2
Eliminate y
multiply (1)by -8.00
Multiply (2) by 5.00
-120.00 x -80.00 y = -13,000.00
70.00 x + 80.00 y = 12,600.00
Add the two equations
-50.00 x = -400.00
/ -50.00
x = 8.00
plug value of x in (1)
15.00 x + 10.00 y = 1,625.00
120.00 + 10.00 y = 1,625.00
10.00 y = 1,625.00 -120.00
10.00 y = 1,505.00
y = 150.50
x= 8.00 cost of cinnamon tea
y= 150.50 cost of spice tea
m.ananth@hotmail.ca

RELATED QUESTIONS
A merchant mixed 12 lb of a cinnamon tea with 6 lb of spice tea. The 18 pound mixture... (answered by josgarithmetic)

A merchant mixed 10 lb of a cinnamon tea with 5 lb of spice tea. The 15-pound mixture... (answered by lwsshak3)

A merchant mixed 10 lb of cinnamon tea with 5 lb of spice tea. The 15-pound mixture cost... (answered by josgarithmetic)

A merchant mixed 10 lb of cinnamon tea with 5 lb of spice tea. The 15 pd mixture cost... (answered by arallie,ankor@dixie-net.com)

A merchant mixed 12 lb of a cinnamon tea with 6 lb of spice tea. The 18-pound mixture... (answered by stanbon)

A merchant mixed 8 lb of a cinnamon tea with 4 lb of spice tea. The 12-pound mixture cost (answered by josmiceli)

A merchant mixed 10 lb of a cinnamon tea with 6 lb of spice tea. The 16-pound mixture... (answered by josgarithmetic)

A merchant mixed 8 lb of a cinnamon tea with 2 lb of spice tea. The 10-pound mixture cost (answered by josgarithmetic,lwsshak3)

A merchant mixed 10 lb of a cinnamon tea with 2 lb of spice tea. The 12-pound mixture... (answered by Boreal)