SOLUTION: A store sells bluegrass seed for $6 per pound and ryegrass seed for $3 per pound. How much ryegrass must be mixed with 100 pounds of bluegrass to obtain a blend that will sell for

Question 900887: A store sells bluegrass seed for $6 per pound and ryegrass seed for $3 per pound. How much ryegrass must be mixed with 100 pounds of bluegrass to obtain a blend that will sell for $5 per pound?
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
This is a two-part mixture problem and the concentrations are as DOLLARS per POUND.

Mixture: one material quantity unknown - http://www.algebra.com/my/Two-Part-Mixture-with-one-material-quantity-unknown.lesson?content_action=show_dev
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a+b=100,
6*a+3*b=5*100
a=100-b
6*(100-b)+3*b=500
600-6b+3*b=500
-3*b=-100
b=33 1/3
a=100-b
a=66 2/3 lb at $6.00 b=33 1/3 lb at $3.00
check
6*66.6666667+3*33.3333333=5*100
400.0+100.0=500
500.0=500
ok

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