document.write( "Question 78642: Business and finance. 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 100lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture? Help, Help. \n" ); document.write( "

Algebra.Com's Answer #56412 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 100lb of a 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 = $12/lb coffee amt
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\n" ); document.write( "It says the resulting amt is to be 100 lb, therefore:
\n" ); document.write( "(100-x) = $9/lb coffee amt
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\n" ); document.write( "12x + 9(100-x) = 11.25(100)
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\n" ); document.write( "12x + 900 - 9x = 1125
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\n" ); document.write( "12x - 9x = 1125 - 900
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\n" ); document.write( "3x = 225
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\n" ); document.write( "x = 225/3
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\n" ); document.write( "x = 75 lb of $12 coffee required:
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\n" ); document.write( "100 - 75 = 25 lb of 9$ coffee
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\n" ); document.write( "Check solutions:
\n" ); document.write( "12(75) + 9(25) =
\n" ); document.write( "900 + 225 = 1125 \n" ); document.write( "

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