Question 1152537
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The solution by the other tutor uses a valid, very formal algebraic method.<br>
There are many other methods that can be used.  I personally find that formal algebraic method awkward; I can get an answer with far less work using a less formal method.<br>
Here is how I would solve the problem....<br>
Given: 6 reporters, 24 articles in 2 days.<br>
The new number of reporters is 12, which is double the original number; that means half as much time.  So 12 reporters, 24 articles, 1 day.<br>
The new number of articles is 120, which is 5 times the original number; that means 5 times as much time.  So 12 reporters, 120 articles, 5 days.<br>
Although I don't usually do it myself, it can be helpful to make a chart of the given information and of the changes you make to get to the answer:<br><pre>
    reporters   articles   days
  -------------------------------
        6          24        2     given
       12          24        1     twice as many workers, so the time is cut in half
       12         120        5     5 times as many articles, so the time is multiplied by 5</pre>