1. Elizabeth's way to enlarge the puzzle will not work because if you add 2 to each side, when added you get 15 on three sides, but 17 on the right vertical. (the 2-7-2 becomes 4-9-4 which = 17.

2. Stacy's way to enlarge the puzzle by multiplying by 4 then dividing by 3 will add up to 14-1/3 on each side (a square). The 6s become 8s, the 5s become 6-2/3, the 7s become 9-1/3, the 4 becomes 5-1/3 and the two 2s become 2-2/3. Stacy's way will work because all sides are equal and go from sum 11 on each side to 14-1/3.

3. Tony's way to enlarge the puzzle by dividing by 3 and then adding the original number will work. Each side length becomes 14-2/3. (6/3 + 6 = 8; 5/3 + 5 = 6-2/3; 2/3 + 2 = 2-2/3; 7/3 + 7 = 9-1/3; 4/3 + 4 = 5-1/3). Tony's way will work because all sides add up to 14-2/3.

4. Andy's way to enlarge the puzzle is to double each measure and then subtract 4. Andy's will not work because on the right side of the puzzle, there are two measurments of 2. Doubling the 2 = 4, then subtracting 4 = 0. So the right side of the puzzle would have two 0 measurements. You can not have a zero measurement.

Nov 30th, 2014

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