document.write( "Question 729228: Mandy's Candies is most famous for their homemade fudge and homemade toffee. They make an average of 154 pounds of fudge and toffee combined each month. They sell a pound of fudge for $9.64 and a pound of toffee for $6.44. Mandy's averages $1,231.76 each month in fudge and toffee sales. On average, how many pounds each of fudge and toffee does Mandy's Candies sell in one month? \n" ); document.write( "
Algebra.Com's Answer #445787 by mananth(16946)![]() ![]() You can put this solution on YOUR website! x= number of fudges \n" ); document.write( "y= number of toffees \n" ); document.write( "Total sold \n" ); document.write( "1.00 x + 1.00 y = 154.00 .............1 \n" ); document.write( "Total value \n" ); document.write( "9.64 x + 6.44 y = 1231.76 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -6.44 \n" ); document.write( "Multiply (2) by 1.00 \n" ); document.write( "-6.44 x -6.44 y = -991.76 \n" ); document.write( "9.64 x + 6.44 y = 1231.76 \n" ); document.write( "Add the two equations \n" ); document.write( "3.20 x = 240.00 \n" ); document.write( "/ 3.20 \n" ); document.write( "x = 75.00 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1.00 x + 1.00 y = 154.00 \n" ); document.write( "75.00 + y = 154.00 \n" ); document.write( " y = 154.00 -75.00 \n" ); document.write( " y = 79.00 \n" ); document.write( " y = 79.00 \n" ); document.write( "x= 75.00 number of fudges \n" ); document.write( "y= 79.00 number of toffees \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |