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
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