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The Three-Jugs Problem
Using jugs A, B, and C with the capacities shown, how would you measure out the volumes indicated?
The Three-Jugs Problem
Problem A B C
Given jugs of these sizes: Measure out this much water:
1
2
3
4
5
6
7
21 127 3
14 46 5
18 43 10
7 42 6
20 57 4
23 49 3
15 39 3
100
22
5
23
29
20
18
The Three-Jugs Problem
Solution: All seven problems
can be solved by the same equation: B-A-2C
But simpler solutions exist for problems 6 and 7, such as A-C for problem 6.
Number Puzzle
Figure out the pattern for the following sequence of numbers:
8, 5, 4, 1, 7, 6, 3, 2, 0
Finish the Sequence
O - T - T - F - ? - ? - ?
J - F - M - A - ? - ? - ?
Mental Set Questions
1) Explain how a mental set was an obstacle to solving the Three-Jugs problem.
2) Explain how a mental set was an obstacle to solving the Number Puzzle.
3) Using the idea of a mental set, why were the 2nd and 3rd sequences so much easier to solve than the 1st?
4) Give a real-world example where a mental set has made it difficult to solve a problem.