document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #271354 by stanbon(75887) $\"\"$ $\"About$

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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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\n" ); document.write( "Quantity Equation: A + B = 25 lb
\n" ); document.write( "Value Equation: 10.5A + 5.75B = 25*8.22
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\n" ); document.write( "Multiply thru the 1st Eq. by 1050
\n" ); document.write( "Multiply thru the 2nd Eq. by 100
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\n" ); document.write( "1050A + 1050B = 1050*25
\n" ); document.write( "1050A + 575B = 25*822
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\n" ); document.write( "Subtract 2nd from 1st and solve for \"B\":
\n" ); document.write( "475B = 5700
\n" ); document.write( "B = 12 lb (amt. of Brand B needed in the mixture)
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\n" ); document.write( "Since A+B = 25, A = 13 lb (amt. of Brand A needed in the mixture)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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