document.write( "Question 769480: How do you set up the following problem? The cost of 40lb of sugar and 16lb of flour is $26, as is the cost of 30lb of suger and 25lb of flour. Find the cost per pound of each item. \n" ); document.write( "
| Algebra.Com's Answer #468875 by Cromlix(4381)     You can put this solution on YOUR website! Sugar = x \n" ); document.write( "Flour = y \n" ); document.write( "40x + 16y = 26....1 \n" ); document.write( "30x + 25y = 26....2 \n" ); document.write( "Multiply (1) by 3 \n" ); document.write( "and (2) by 4 \n" ); document.write( "120x + 48y = 78...3 \n" ); document.write( "120x + 100y = 104...4 \n" ); document.write( "Subtract (3) from (4) \n" ); document.write( " 52y = 26 \n" ); document.write( " y = 26/52 \n" ); document.write( " y = 0.5 \n" ); document.write( "Substitute y = 0.5 in (1) \n" ); document.write( "40x + 16y = 26 \n" ); document.write( "40x + 8 = 26 \n" ); document.write( "40x = 26 - 8 \n" ); document.write( "40x = 18 \n" ); document.write( " x = 18/40 \n" ); document.write( " x = 0.45 \n" ); document.write( "So, Sugar costs 45 cents per lb. \n" ); document.write( "Flour costs 50 cents per lb. \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " |