SOLUTION: the nut house sells pecans worth $4 per pounds and cashews worth $6 per pound. How many pounds of pecans and how many pounds of cashews must be mixed to form 16 lb of a nut mixture

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Question 910489: the nut house sells pecans worth $4 per pounds and cashews worth $6 per pound. How many pounds of pecans and how many pounds of cashews must be mixed to form 16 lb of a nut mixture worth $4.50 per pound.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=16,
4*a+6*b=72
a=16-b
4*(16-b)+6*b=72
64-4b+6*b=72
2*b=8
b=4
a=16-b
a=12 at $4 and b=4 at $6
check
12+4=16
4*a+6*b=72
4*12+6*4=72
48+24=72
72=72
ok