document.write( "Question 670489: THIS PROBLEM MUST BE SOLVED USING SYSTEMS.\r
\n" ); document.write( "\n" ); document.write( "The manager of a candy shop sells chocolate covered peanuts for $7 per pound and chocolate covered cashews for $14 per pound. The manager wishes to make a 245-pound cashew-peanut mixture that will sell for $9 per pound. How many pounds of each should be used? \n" ); document.write( "
Algebra.Com's Answer #416946 by mananth(16946)\"\" \"About 
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x= Chocolate covered peanuts pounds
\n" ); document.write( "y= Chocolate covered cashewnuts pounds
\n" ); document.write( "Total nuts sold
\n" ); document.write( "1 x -1 y = 245 .............1
\n" ); document.write( "Cost of nuts
\n" ); document.write( "7 x + 14 y = 9*245 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 14
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "14 x -14 y = 3430
\n" ); document.write( "7 x + 14 y = 2205
\n" ); document.write( "Add the two equations
\n" ); document.write( "21 x = 5635
\n" ); document.write( "/ 21
\n" ); document.write( "x = 268
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x -1 y = 245
\n" ); document.write( "268 -1 y = 245
\n" ); document.write( " -1 y = 245 -268
\n" ); document.write( " -1 y = -23
\n" ); document.write( " y = 23
\n" ); document.write( " 268 pounds Chocolate covered peanuts
\n" ); document.write( " 23 pounds Chocolate covered cashewnuts
\n" ); document.write( "m.ananth@hotmail.ca
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