document.write( "Question 8120: In a gaggle of geese and a flock of sheep, there are 98 eyes and 162 legs. How many geese and how many sheep are there? \n" ); document.write( "
Algebra.Com's Answer #4462 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let S = number of sheep and G = number of geese.\r \n" ); document.write( "\n" ); document.write( "4S + 2G = 162 The total number of legs. \n" ); document.write( "2S + 2G = 98 The total number of eyes. Rewrite as: 2G = 98-2S and substitute into the first equation.\r \n" ); document.write( "\n" ); document.write( "4S + 98-2S = 162 Simplify and solve for S. \n" ); document.write( "2S + 98 = 162 \n" ); document.write( "2S = 64 \n" ); document.write( "S = 32 There are 32 sheep.\r \n" ); document.write( "\n" ); document.write( "2G = 98-2S \n" ); document.write( "2G = 98-64 \n" ); document.write( "2G = 34 \n" ); document.write( "G = 17 There are 17 geese.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |