SOLUTION: A merchant has coffee worth$30 a pound that she wishes to mix with 30 pounds of coffee worth $70 a pound to get a mixture that can be sold for $40 a pound,How many pounds of the $3
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Question 512362: A merchant has coffee worth$30 a pound that she wishes to mix with 30 pounds of coffee worth $70 a pound to get a mixture that can be sold for $40 a pound,How many pounds of the $30 coffee should be used?
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Coffee1=x lb
Coffee2=30 lb
Mixture=30+x lb
Price per pound Coffee1 = $30
Price per pound Coffee2 = $70
Price per pound Mixture = $40
Coffee1*Price + Coffee2*Price=Mixture*Price
(x*30)+(30*70)=(30+x)40
30x+2100=1200+40x
30x-40x=1200-2100
-10x=-900
-10x/-10=-900/-10
x=90
90 pounds of the $30 coffee should be used
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