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.

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