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Value mixture problems

Problem

A coffee dealer has two kinds of coffee, one worth $9 per pound, another worth $6 per pound. If the dealer wants to obtain 40 pound of a new blend that can sell for $8 per pound, how many pounds of each kind of coffee must be mixed?
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Problem

A coffee merchant has 2 grades of coffee, Grade A sells for $8 per pound, and Grade B $5 per pound. How many pounds of Grade A coffee must he mix with 20 pounds of Grade B coffee to produce a new blend that can be sold for $7 per pound?
Solution      

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