document.write( "Question 74147: Jackie has coffee that sells for $9 per pound and coffee that sells for $4 per pound. How many pounds of each must be mixed to get 20 pounds that sells for $8.25 per pound? \n" ); document.write( "
Algebra.Com's Answer #53168 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! Jackie has coffee that sells for $9 per pound and coffee that sells for $4 per pound. How many pounds of each must be mixed to get 20 pounds that sells for $8.25 per pound? \n" ); document.write( "Let the amount of the $9 coffee be:x \n" ); document.write( "Let the amount of the $4 coffee be:y \n" ); document.write( "Then x+y=20 \n" ); document.write( "If we solve this for y, the y=20-x is the amount of the $4 coffee. \n" ); document.write( "Cost=amount*(cost/amount) \n" ); document.write( "so the cost of the $9 coffee is: 9x \n" ); document.write( "Then the cost of the $4 coffee is: 4y or 4(20-x) \n" ); document.write( "The total cost is: 8.25(20) \n" ); document.write( "Problem to solve: \n" ); document.write( "9x+4(20-x)=8.25(20) \n" ); document.write( "9x+80-4x=165 \n" ); document.write( "5x+80=165 \n" ); document.write( "5x+80-80=165-80 \n" ); document.write( "5x=85 \n" ); document.write( "5x/5=85/5 \n" ); document.write( "x=17 \n" ); document.write( "The amount of $9 coffee is: x=17 lbs \n" ); document.write( "The amount of $4 coffee is: y=20-x=20-17=3 lbs. \n" ); document.write( "Happy Calculating!!!! \n" ); document.write( " |