SOLUTION: A local specialty coffee shop wants to obtain 30 pounds of a mixture of coffee beans costing $4.40 per pound. They have a mixture costing $4.25 per pound and a mixture costing $4.5
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Question 913146: A local specialty coffee shop wants to obtain 30 pounds of a mixture of coffee beans costing $4.40 per pound. They have a mixture costing $4.25 per pound and a mixture costing $4.50 per pound. How much of each should be used? (Use system of linear equations to solve the problem)
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Coffee
price ---------------- quantity
Mixture type I 4.25 ---------------- x pounds
Mixture Type II 4.50 ------ 30 - x pounds
Mixture 4.40 ---------------- 30
Total 30 pounds
4.25 x + 4.5 ( 30 - x ) = 132
4.25 x + 135 - 4.5 x = 132
4.25 x - 4.5 x = 132 - 135
-0.25 x = -3
/ -0.25
x = 12 pounds $4.25 Mixture type I
18 pounds $4.50 Mixture Type II
m.ananth@hotmail.ca
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