document.write( "Question 92536: Could someone please help me with setting this problem up and then how to begin to solve it? I have read my algebra book over and over and still can't get it. Thanks so much. A coffee merchant wants to make 25lb of a blend of coffee to sell for $4.25 per pound. The blend is made by using a $6 grade and a $3.50 grade of coffee. How many pounds of each grade of coffee should be used? Thanks for your time \n" ); document.write( "
Algebra.Com's Answer #67364 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A coffee merchant wants to make 25lb of a blend of coffee to sell for $4.25 per pound. The blend is made by using a $6 grade and a $3.50 grade of coffee. How many pounds of each grade of coffee should be used? \n" ); document.write( "---------------- \n" ); document.write( "$6 grade coffee DATA: \n" ); document.write( "Amount = x lbs. ; value = 6x dollars \n" ); document.write( "------------------ \n" ); document.write( "$3.50 grade cofee DATA: \n" ); document.write( "Amount = \"25-x\" lbs; value = 3.5(25-x)= 87.5-3.5x dollars \n" ); document.write( "-------------------- \n" ); document.write( "$4.25 mixture DATA: \n" ); document.write( "Amount = 25 lbs ; value = 4.25*25 = $106.25 \n" ); document.write( "-------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "value + value = 106.25 dollars \n" ); document.write( "6x + 87.5-3.5x = 106.25 \n" ); document.write( "2.5x = 18.75 \n" ); document.write( "x = 7.5 lbs ( amount of $6 coffee in the blend) \n" ); document.write( "25-x = 17.5 ( amount of #3.50 coffee in the blend) \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |