document.write( "Question 193316: A coffee shop decides to blend a coffee that sells for $12 per pound with a coffee that sells for $9 per pound to produce a blend that will sell for $10 per pound. How much of each should be used to yield 20 pounds of the new blend? \n" ); document.write( "
Algebra.Com's Answer #145121 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A coffee shop decides to blend a coffee that sells for $12 per pound with a coffee that sells for $9 per pound to produce a blend that will sell for $10 per pound. How much of each should be used to yield 20 pounds of the new blend? \n" ); document.write( ". \n" ); document.write( "Let x = pounds of $12 per pound coffee \n" ); document.write( "then \n" ); document.write( "20-x = pounds of $9 per pound coffee \n" ); document.write( ". \n" ); document.write( "12x + 9(20-x) = 10(20) \n" ); document.write( "12x + 180 - 9x = 200 \n" ); document.write( "3x + 180 = 200 \n" ); document.write( "3x = 20 \n" ); document.write( "x = 20/3 \n" ); document.write( "x = 6 and 2/3 pounds of $12 per pound coffee \n" ); document.write( ". \n" ); document.write( "Amount of $9 per pound coffee: \n" ); document.write( "20-x = 20-20/3 = 60/3 - 20/3 = 40/3 \n" ); document.write( "or \n" ); document.write( "13 and 1/3 pounds of $9 per pound coffee \n" ); document.write( " |