document.write( "Question 8000: chickens and rabbits were placed under the same tent. The chickens and the rabbits have a total of 360 legs. If there were 105 animals, how many were rabbits? \n" ); document.write( "
Algebra.Com's Answer #4380 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let C = the number of chickens and R = the number of rabbits.\r \n" ); document.write( "\n" ); document.write( "Then: 2C + 4R = 360 The total number of legs. \n" ); document.write( "and: C + R = 105 The total number of animals. Rewrite this as: C = 105 - R and substitute into the first equation.\r \n" ); document.write( "\n" ); document.write( "2(105 - R) + 4R = 360 Simplify and solve for R, the number of rabbits.\r \n" ); document.write( "\n" ); document.write( "210 - 2R + 4R = 360 Add the R's. \n" ); document.write( "210 + 2R = 360 Subtract 210 from both sides. \n" ); document.write( "2R = 150 Divide both sides by 2. \n" ); document.write( "R = 75 There were 75 rabbits. \n" ); document.write( " |