document.write( "Question 265899: A merchant has coffee worth $20 a pound that she wishes to mix with 50 pounds of coffee worth $80 a pound to get a mixture that can be sold for $60 a pound. How many pounds of the $20 coffee should be used? \n" ); document.write( "
Algebra.Com's Answer #195427 by mananth(16946)![]() ![]() You can put this solution on YOUR website! A merchant has coffee worth $20 a pound that she wishes to mix with 50 pounds of coffee worth $80 a pound to get a mixture that can be sold for $60 a pound. How many pounds of the $20 coffee should be used?\r \n" ); document.write( "\n" ); document.write( "$20 coffee---------------------- $80 coffee------------------------- mix $60\r \n" ); document.write( "\n" ); document.write( "x-50 ---------------------------------50------------------------------- x \n" ); document.write( "(x-50)*20 +50*80 =60x\r \n" ); document.write( "\n" ); document.write( "20x-1000 +4000 = 60x\r \n" ); document.write( "\n" ); document.write( "20x-60x= -4000 +1000 \n" ); document.write( "-40x= -3000 \n" ); document.write( "x= -3000/-40 \n" ); document.write( "75 The mix will be 75 lbs\r \n" ); document.write( "\n" ); document.write( "And $20 coffee will be 75 -50 = 25lbs \n" ); document.write( " |