document.write( "Question 87874: Business and Finance: A coffee merchant has cofee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture. \n" ); document.write( "

Algebra.Com's Answer #63770 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture.
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\n" ); document.write( "Let x = lbs of $12 coffee
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\n" ); document.write( "Problem states the resulting amt will be 100 lb, therefore
\n" ); document.write( "(100-x) = lbs of $9 coffee
\n" ); document.write( ":
\n" ); document.write( "A simple equation:
\n" ); document.write( "12x + 9(100-x) = 11.25(100)
\n" ); document.write( "12x + 900 - 9x = 1125
\n" ); document.write( "12x - 9x = 1125 - 900
\n" ); document.write( "3x = 225
\n" ); document.write( "x = 225/3
\n" ); document.write( "x = 75 lbs of $12 coffee
\n" ); document.write( "Then:
\n" ); document.write( "100 - 75 = 25 lbs of $9 coffee
\n" ); document.write( ":
\n" ); document.write( "Check solution:
\n" ); document.write( "12(75) + 9(25) =
\n" ); document.write( " 900 + 225 = 1125 \n" ); document.write( "

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