SOLUTION: How much candy priced at $2.50 per pound must be mixed with candy priced at $3.50 per pound to create 100 pounds of mixed candy selling at $2.90 per pound?

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Question 911208: How much candy priced at $2.50 per pound must be mixed with candy priced at $3.50 per pound to create 100 pounds of mixed candy selling at $2.90 per pound?
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
a+b=100,
2.5*a+3.5*b=290
a=100-b
2.5*(100-b)+3.5*b=290
250.0-2.5b+3.5*b=290
1.0*b=40.0
b=40.0
a=100-b
a=60 at $2.50 and b=40 at $3.50
check
60+40=100
2.5*a+3.5*b=290
2.5*60+3.5*40=290
150.0+140.0=290
290.0=290
ok
codetickv

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