SOLUTION: Timmy mixed nuts worth $0.85 per pound with nuts worth $0.55 per pound. How many pounds of each kind of nut did he use to make a mixture of 60 pounds to sell at $0.75 per pound?

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Question 1003437: Timmy mixed nuts worth $0.85 per pound with nuts worth $0.55 per pound. How many pounds of each kind of nut did he use to make a mixture of 60 pounds to sell at $0.75 per pound?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call x the number of pounds of 0.85 nuts used.
Then 60-x must be the amount of 0.55 nuts used.
The setup is then
.85x + .55(60-x) = 60(.75)
.85x + 33 - .55x = 45
.3x + 33 = 45
.3x = 12
x = 40 pounds at .85
60-x = 20 pounds at .55