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)\"\" \"About 
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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( ":-)
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