document.write( "Question 501696: A man bought 9 pounds of coffee and 6 pounds of butter for a total of $47.75
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document.write( "A day later, the prices had not changed and he bought 10 pounds of coffee and 14 pounds of butter for $64.00
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document.write( "Find the price per pound of the butter. \n" );
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Algebra.Com's Answer #338618 by mananth(16946)![]() ![]() You can put this solution on YOUR website! coffee x $/kg \n" ); document.write( "butter y $/kg \n" ); document.write( " \n" ); document.write( "9 x + 6 y = 47.75 .............1 \n" ); document.write( "10 x + 14 y = 64 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -14 \n" ); document.write( "Multiply (2) by 6 \n" ); document.write( "-126 x -84 y = -668.5 \n" ); document.write( "60 x 84 y = 384 \n" ); document.write( "Add the two equations \n" ); document.write( "-66 x = -284.5 \n" ); document.write( "/ -66 \n" ); document.write( "x = 4.31 OR 4 23/74 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "9 x + 6 y = 47.75 \n" ); document.write( "38.8 + 6 y = 47.75 \n" ); document.write( " 6 y = 47.75 -38.8 \n" ); document.write( " 6 y = 8.95 \n" ); document.write( " y = 1.49 \n" ); document.write( "coffee 4 1/3 $/kg \n" ); document.write( "butter 1 1/2 $/kg \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |