document.write( "Question 501696: A man bought 9 pounds of coffee and 6 pounds of butter for a total of $47.75
\n" ); 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
\n" ); document.write( "Find the price per pound of the butter.
\n" ); document.write( "

Algebra.Com's Answer #338618 by mananth(16946)\"\" \"About 
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( "
\n" );