| Movie Madness |
Strategies and Hints
Mike had 15 tapes. Most people make the incorrect assumption that
the number of tapes plus
tape has to include
tape. If the total number of original tapes is odd, this is a whole number.
Working backwards: | Mike
had at home |
1 tape |
| Mike gave to Jeff |
1 |
| Had before next trade | 3 tapes |
| Mike gave to Maritza | 3
+
= 4 tapes |
| Had before next trade | 7 tapes |
| Mike gave to JoAnne | 7
+ =
8 tapes |
| Mike had originally | 15 tapes |
Extension:
-
There would be 2n - 1 where n = number of students. Therefore for 12 students there must be 8191 tapes.
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