<PRE><B>Question 1162201</B>
&lt;br&gt;
There are a wide variety of very different methods for solving problems like this; different methods will work better for different people.&lt;br&gt;
I will show you the method that works best for me.&lt;br&gt;
Start with the given numbers and change two numbers at a time, using common sense, until you have the desired numbers.&lt;br&gt;
6 wolves, 6 days, 6 sheep  [given]&lt;br&gt;
60 wolves, 6 days, 60 sheep  [it will take 10 times as many wolves to eat 10 times as many sheep in the same 6 days]&lt;br&gt;
6 wolves, 60 days, 60 sheep  [it will take 1/10 as many wolves to eat the same 60 sheep if there are 10 times as many days]&lt;br&gt;
ANSWER: It takes 6 wolves to eat 60 sheep in 60 days.&lt;br&gt;
Of course, you can make the jump directly from the given information by changing all three numbers at the same time using logical reasoning:&lt;br&gt;
6 wolves, 6 days, 6 sheep  [given]&lt;br&gt;
6 wolves, 60 days, 60 sheep  [10 times as many sheep to eat, and 10 times as many days, means the same 6 wolves]&lt;br&gt;
Second problem....&lt;br&gt;
6 wolves, 6 days, 6 sheep  [given]&lt;br&gt;
half as many wolves, same number of sheep --&gt; twice as many days:
3 wolves, 12 days, 6 sheep&lt;br&gt;
half as many sheep, same number of wolves --&gt; half as many days:
3 wolves, 6 days, 3 sheep&lt;br&gt;
--------------------------------------------------&lt;br&gt;
Many students find it easy to show the work for this method of solving the problem with a table.&lt;br&gt;
First problem....&lt;br&gt;&lt;pre&gt;
   wolves  sheep  days
  ---------------------
      6      6      6
      60     60     6   10 times as many sheep, same number of days --&gt; 10 times as many wolves
      6      60    60   10 times as many days, same number of sheep --&gt; 1/10 as many wolves&lt;/pre&gt;
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