document.write( "Question 71011: A coffe 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 ech type of bean should be used in the mixture? \n" ); document.write( "
Algebra.Com's Answer #50771 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A coffee merchant has coffee beens that sell for $9 per pound and $12 per pound.
\n" ); document.write( " The two types are to be mixed to create 100 lb. of a mixture that will sell for
\n" ); document.write( " $11.25 per pound. How much of each type of bean should be used in the mixture?
\n" ); document.write( ":
\n" ); document.write( "Let x = amt of $12 coffee
\n" ); document.write( ":
\n" ); document.write( "We know the total will be 100 pounds, therefore
\n" ); document.write( "(100 - x) = amt of $9 coffee
\n" ); document.write( ":
\n" ); document.write( "12x + 9(100-x) = 11.25(100)
\n" ); document.write( ":
\n" ); document.write( "12x + 900 - 9x = 1125
\n" ); document.write( ":
\n" ); document.write( "12x - 9x = 1125 - 900
\n" ); document.write( ":
\n" ); document.write( "3x = 225
\n" ); document.write( ":
\n" ); document.write( "x = 225/3
\n" ); document.write( ":
\n" ); document.write( "x = 75 lb of $12 coffee
\n" ); document.write( ":
\n" ); document.write( "100 - 75 = 25 lb of $9 coffee
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check: 12(75) + 9(25) = 11.25(100) \n" ); document.write( "
\n" );