SOLUTION: how many pounds of tea worth $4.60 a pound should be mixed with tea worth $6.50 a pound to get 10 pounds of a mixture worth %5.74 a pound?

SOLUTION: how many pounds of tea worth $4.60 a pound should be mixed with tea worth $6.50 a pound to get 10 pounds of a mixture worth %5.74 a pound?

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Question 908268: how many pounds of tea worth $4.60 a pound should be mixed with tea worth $6.50 a pound to get 10 pounds of a mixture worth %5.74 a pound?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a+b=10,
4.6*a+6.5*b=5.74*10
a=10-b
4.6*(10-b)+6.5*b=57.4
46.0-4.6b+6.5*b=57.4
1.9*b=11.4
b=6.0
a=10-b
a=4.0 lb. at $4.60
b=6.0 lb. at $6.50
check
4.6*4.0+6.5*6.0=5.74*10
18.4+39.0=57.4
57.4=57.4
ok

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