SOLUTION: Bucks grass seed sells for $2.45 per pound and jacks grass seed sells for $2.10 per pound. How many pounds of each should be mixed to get a 10 pound mixture that sells for $2.20 pe

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Question 905836: Bucks grass seed sells for $2.45 per pound and jacks grass seed sells for $2.10 per pound. How many pounds of each should be mixed to get a 10 pound mixture that sells for $2.20 per pound?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=10,
2.45*a+2.10*b=2.20*10
a=10-b
2.45*(10-b)+2.1*b=22.0
24.5-2.45b+2.1*b=22.0
-0.35*b=-2.5
b=7.14285714
a=10-b
a=2.85714286 lb. at $2.45 b=7.14285714 lb. at $2.10
check
2.45*2.85714286+2.1*7.14285714=2.2*10
7.0+15.0=22.0
22.0=22.0
ok