SOLUTION: Two kinds of coffee were blended together, one worth $5.40 a pound and the other worth $6.25 a pound. The blend contained ten pounds more than twice as much of the $5.40 coffee tha

Question 731616: Two kinds of coffee were blended together, one worth $5.40 a pound and the other worth $6.25 a pound. The blend contained ten pounds more than twice as much of the $5.40 coffee than of the $6.25 coffee. How much of each kind was used if the value of the blend was $190.40
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
x= pounds of coffee type I
y= pounds of coffee type II

-2.00 x + 1.00 y = 10.00 .............1
Total value
6.25 x + 5.40 y = 190.40 .............2
Eliminate y
multiply (1)by -5.40
Multiply (2) by 1.00
10.80 x -5.40 y = -54.00
6.25 x + 5.40 y = 190.40
Add the two equations
17.05 x = 136.40
/ 17.05
x = 8.00
plug value of x in (1)
-2.00 x + 1.00 y = 10.00
-16.00 + y = 10.00
y = 10.00 + 16.00
y = 26.00
y = 26.00
x= 8.00 pounds of coffee type I
y= 26.00 pounds of coffee type II
m.ananth@hotmail.ca

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