document.write( "Question 1187123: In a pen of goats and chickens, there are 35 heads and 110 feet. How many goats and chickens are in the pen? \n" ); document.write( "
Algebra.Com's Answer #818073 by ikleyn(52810)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "In a pen of goats and chickens, there are 35 heads and 110 feet. How many goats and chickens are in the pen? \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let x be the number of goats; then the number of chicken is (35-x).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now we write equation counting the legs\r\n" ); document.write( "\r\n" ); document.write( " 4x + 2*(35-x) = 110.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and find x\r\n" ); document.write( "\r\n" ); document.write( " 4x + 70 - 2x = 110\r\n" ); document.write( "\r\n" ); document.write( " 2x = 110 - 70\r\n" ); document.write( "\r\n" ); document.write( " 2x = 40\r\n" ); document.write( "\r\n" ); document.write( " x = 40/2 = 20.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 20 goats, and the rest 35 - 20 = 15 are chicken.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. Count the legs: 20*4 + 15*2 = 80 + 30 = 110. ! Correct !\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To see many other similar and different solved problems, look into the lessons\r \n" ); document.write( "\n" ); document.write( " - Problem on two-wheel and three-wheel bicycles\r \n" ); document.write( "\n" ); document.write( " - Problem on animals at a farm\r \n" ); document.write( "\n" ); document.write( " - Problem on pills in containers\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |