document.write( "Question 1173103: A farmer looked out his window and saw a total of 21 cows and ducks. He was bored so he counted all the legs of the cows and ducks. He counted a total of 72 legs. How many of the 21 animals were ducks? \n" ); document.write( "
Algebra.Com's Answer #798266 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "If a formal algebraic solution is not required, this kind of problem can be solved using logical reasoning and simple mental arithmetic. \n" ); document.write( "(1) all 21 animals being ducks would mean 2(21) = 42 legs; that is 72-42=30 less than the actual number. \n" ); document.write( "(2) Each cow has 2 more legs than each duck. \n" ); document.write( "(3) The number of cows needed to make those additional 30 legs is 30/2 = 15. \n" ); document.write( "(4) 15 cows means 21-15 = 6 ducks. \n" ); document.write( "ANSWER: 6 ducks \n" ); document.write( " \n" ); document.write( " |