<PRE><B>Question 1177099</B>
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The response from the other tutor starts out with the stated requirement that the total number of melons and avocados is at least 20; then she ends up giving 3 possibilities for the answer, in all of which the total number of fruits is AT MOST 20.&lt;br&gt;
So somewhere in her solution she got mixed up....&lt;br&gt;
However, the problem is absurd, and it doesn&#39;t matter whether the total number of fruits is less than 20 or greater than 20; it is easy to see that for either case the number of possibilities is large.&lt;br&gt;
So the problem as stated is severely faulty.&lt;br&gt;
For total number of fruits at least 20 (as the problem states)....&lt;br&gt;
Suppose there are 20 melons. The number of avocados can be no more than three times the number of melons; that means the number of avocados can be any number from 0 to 60, because each of those numbers is &quot;no more than thrice&quot; the number of melons.  And of course for any of those possible numbers of avocados the total number of fruits is at least 20.&lt;br&gt;
And of course if the number of melons is greater than 20, then the number of avocados can be anything from 0 to 3 times the number of melons.&lt;br&gt;
So it is obvious that the problem makes no sense (there are an infinite number of solutions) if the total number of fruits is &quot;at least 20&quot;.&lt;br&gt;
Now suppose the problem was supposed to say the total number of fruits is AT MOST 20.&lt;br&gt;
Again it is possible that there are 20 melons, because that would mean the number of avocados would have to be 0; and 0 is less than 3 times 20.&lt;br&gt;
And we could have, say, 10 melons; then, to keep the total number of fruits at most 20, the number of avocados could be anything from 0 to 10, and each of those numbers is no more than three times the number of melons.&lt;br&gt;
In this case, because the total number of fruits has to be at most 20, the number of solutions is again large, but not infinite.&lt;br&gt;
So this is another example of the author of the problem trying to be &quot;different&quot; in how he presents the problem, but ends up with a problem that is nonsense.&lt;br&gt;
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