SOLUTION: a coffee shop decides to blend a coffee that sells for$12 per pound with a coffee that sells for $9 per pound to produce a blend that will sell for $10 per pound. how much of each

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Question 99931: a coffee shop decides to blend a coffee that sells for$12 per pound with a coffee that sells for $9 per pound to produce a blend that will sell for $10 per pound. how much of each should be used to yield 20 pounds of the new blend?
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
12x+9(20-x)=10*20
12x+180-9x=200
3x=200-180
3x=20
x=20/3 pounds of $12 coffee is needed.
20-6 2/3=13 1/3 or 40/3 pounds of $9 coffee is needed.
proof
12*20/3+9*40/3=200
240/3+360/3=200
80+120=200
200=200

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