SOLUTION: a merchant has coffee worth $3 a pound that she wishes to mix with 50 pounds of coffee worth $9 a pound to get a mixture worth $8 a pound. How many pounds of the $3 coffee should b

Question 564350: a merchant has coffee worth $3 a pound that she wishes to mix with 50 pounds of coffee worth $9 a pound to get a mixture worth $8 a pound. How many pounds of the $3 coffee should be used?
Answer by ad_alta(240) (Show Source): You can put this solution on YOUR website!
The average cost needs to come to $8 a pound. Thus, if 'x' is the number of pounds of $3/lb coffee the merchant needs to add, we have (3*x+50*9)/(x+50)=8. Thus, x=10. I'm sure the merchant will sell it for $9 a pound anyway...
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