SOLUTION: A store owner has two different blends of coffee. Brand A sells for $10.50 a pound and Brand B sells for $5.75 a pound. The owner wants to create a 25-pound mixture of Brand A and

Question 383102: A store owner has two different blends of coffee. Brand A sells for $10.50 a pound and Brand B sells for $5.75 a pound. The owner wants to create a 25-pound mixture of Brand A and B to sell for $8.22 a pound. How many pounds of each blend should he use?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A store owner has two different blends of coffee. Brand A sells for $10.50 a pound and Brand B sells for $5.75 a pound. The owner wants to create a 25-pound mixture of Brand A and B to sell for $8.22 a pound. How many pounds of each blend should he use?
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Quantity Equation: A + B = 25 lb
Value Equation: 10.5A + 5.75B = 25*8.22
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Multiply thru the 1st Eq. by 1050
Multiply thru the 2nd Eq. by 100
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1050A + 1050B = 1050*25
1050A + 575B = 25*822
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Subtract 2nd from 1st and solve for "B":
475B = 5700
B = 12 lb (amt. of Brand B needed in the mixture)
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Since A+B = 25, A = 13 lb (amt. of Brand A needed in the mixture)
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Cheers,
Stan H.
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