document.write( "Question 349928: At the park, I saw boys and dogs. I saw thirty two heads and 104 legs. How many were dogs and how many boys? Which equations did you use? I got 12 boys and 20 dogs by trial and error but I know that there must be some equations to solve. Please help. Thank you. \n" ); document.write( "
Algebra.Com's Answer #250087 by mananth(16946)![]() ![]() You can put this solution on YOUR website! total 104 legs \n" ); document.write( "32 heads \n" ); document.write( ".. \n" ); document.write( "let there be x boys & y dogs \n" ); document.write( ".. \n" ); document.write( "2x+4y=104..................1 \n" ); document.write( "x+y=32......................2 \n" ); document.write( "multiply equation 2 by -2 and add it to equation 1 \n" ); document.write( "-2x-2y=-64 \n" ); document.write( "add \n" ); document.write( "4y-2y=104-64 \n" ); document.write( "2y=40 \n" ); document.write( "y=20 dogs \n" ); document.write( "32-20= 12 boys \n" ); document.write( "... \n" ); document.write( "12*2+20*4=104 \n" ); document.write( " \n" ); document.write( " |