document.write( "Question 1177971: If 3 cats catch 6 rats in 9 days, 9 cats can catch 12 rats in how many days? \n" ); document.write( "
Algebra.Com's Answer #807155 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The other tutor presented a perfectly good formal method for solving the problem; you should understand that method and be able to use it. \n" ); document.write( "For a relatively simple problem like this, I prefer a more informal solution method, changing two of the parameters at a time using common sense, like this.... \n" ); document.write( "3 cats, 6 rats, 9 days (given) \n" ); document.write( "The specified number of cats is 9. More cats in the same number of days means more rats. So multiply the number of cats by 3 to get the required 9 cats, and multiply the number of rats by 3: \n" ); document.write( "3 cats, 6 rats, 9 days (given) \n" ); document.write( "9 cats, 18 rats, 9 days \n" ); document.write( "The specified number of rats is 12. Fewer rats with the same number of cats means fewer days. So multiply the 18 rats by 2/3 to get the required 12 rats, and multiply the number of days by 2/3: \n" ); document.write( "3 cats, 6 rats, 9 days (given) \n" ); document.write( "9 cats, 18 rats, 9 days \n" ); document.write( "9 cats, 12 rats, 6 days \n" ); document.write( "ANSWER: 6 days for 9 cats to catch 12 rats. \n" ); document.write( "Without all the words of explanation, you can see the process is rather easy: \n" ); document.write( "3 cats, 6 rats, 9 days (given) \n" ); document.write( "9 cats, 18 rats, 9 days \n" ); document.write( "9 cats, 12 rats, 6 days \n" ); document.write( "You will always have different paths you can follow to get the answer using this method. Here is another path: \n" ); document.write( "3 cats, 6 rats, 9 days (given) \n" ); document.write( "3 cats, 12 rats, 18 days (same number of cats, twice as many rats means twice as many days) \n" ); document.write( "9 cats, 12 rats, 6 days (3 times as many cats, same number of rats means one-third as many days) \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |