SOLUTION: Cashews cost $4 per pound and peanuts cost $1 per pound. How many pounds of peanuts should be used with the cashews to get a mixture of 24 pounds that will cost $2 per pound?

Question 542684: Cashews cost $4 per pound and peanuts cost $1 per pound. How many pounds of peanuts should be used with the cashews to get a mixture of 24 pounds that will cost $2 per pound?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Cashews cost $4 per pound and peanuts cost $1 per pound.
How many pounds of peanuts should be used with the cashews to get a mixture of 24 pounds that will cost $2 per pound?
:
Let x = no. of lbs of peanuts
It states the total weight will be 24 lb, therefore
(24-x) = no. of lbs of cashews
:
A typical mixture equation
1x + 4(24-x) = 2(24)
x + 96 - 4x = 48
x - 4x = 48 - 96
-3x = -48
x = 48/3
x = 16 lb of peanuts required
:
Check solution (8 lb of cashews required)
1(16) + 4(8) = 2(24)
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