document.write( "Question 587671: On a farm, there are only sheep and chicken. There were 60 heads and 200 legs. How many sheep are there? \n" ); document.write( "

Algebra.Com's Answer #374179 by mananth(16946) $\"\"$ $\"About$

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Let sheep be x
\n" ); document.write( "and chicken be y\r
\n" ); document.write( "\n" ); document.write( "Each has only 1 head
\n" ); document.write( "so x+y =60..................(1)\r
\n" ); document.write( "\n" ); document.write( "Sheep has 4 legs and chicken 2
\n" ); document.write( "4x+2y=200....................(2)\r
\n" ); document.write( "\n" ); document.write( "Multiply (1) by -2 and add the equation to (2)
\n" ); document.write( "-2x-2y=-120
\n" ); document.write( "4x+2y=200\r
\n" ); document.write( "\n" ); document.write( "Therefore 2x= 80
\n" ); document.write( "/2
\n" ); document.write( "x= 40\r
\n" ); document.write( "\n" ); document.write( "sheep 40 numbers balance 20 are chickens\r
\n" ); document.write( "\n" ); document.write( "CHECK\r
\n" ); document.write( "\n" ); document.write( "40*4 +20*2= 200\r
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