document.write( "Question 68626: 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 a 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 #48836 by stanbon(75887) ![]() You can put this solution on YOUR website! 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 a 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( "----------------- \n" ); document.write( "Let amount of $9 coffee be x lbs. ; Value of this is 9x dollars \n" ); document.write( "Then amount of $12 coffee is \"100-x\";Value of the is 12(100-x)=1200-12x dollars \n" ); document.write( "Amount of mixed commee is 100 lbs. ; Value of this is $1125 \n" ); document.write( "----------- \n" ); document.write( "EQUATION: \n" ); document.write( "value + value = 1125 \n" ); document.write( "9x + 1200-12x = 1125 \n" ); document.write( "-3x= -75 \n" ); document.write( "x=25 lbs (amount of $9 coffee in the mixture) \n" ); document.write( "100-x=75 lbs (amount of $12 coffee in the mixture) \n" ); document.write( "--------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |