document.write( "Question 499343: The manager of a coffee shop has one type of coffee that sells for $6 per pound and another type that sells for $13 per pound. The manager wishes to mix 30 pounds of the $13 coffee to get a mixture that will sell for $9 per pound. How many pounds of the $6 coffee should be used? \n" ); document.write( "
Algebra.Com's Answer #337598 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! x = lb of one coffee \n" ); document.write( "13x = value of that coffee \n" ); document.write( ". \n" ); document.write( "30-x = lb of other coffee \n" ); document.write( "6(30-x) = value of that coffee \n" ); document.write( ". \n" ); document.write( "30 = lb of coffee in final mix \n" ); document.write( "9(30) = 270 = value of the final mix \n" ); document.write( ". \n" ); document.write( "13x + 6(30-x) = 270 \n" ); document.write( "13x + 180 -6x = 270 \n" ); document.write( "7x = 90 \n" ); document.write( "x = 90/7 lb \n" ); document.write( "x = 12 6/7 lb of the more expensive coffee \n" ); document.write( ". \n" ); document.write( "That means you will add \n" ); document.write( "30-x = 17 1/7 lb of the cheaper coffee \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |