Polya Process

Answer Page


Question Answer
40 ducks and goats, 106 legs 40D/0G = 80   0D/40G = 160
20D/20G = 120  30D/10G = 100
25D/15G = 110  27D/13G = 106  
units digit of 73134 71 = 7  72 = 49  73 = 343  74 = 2401
75 = 16807  76 = 117649  77 = 823543
This cycle repeats every 4 numbers, divide 3134 by 4 to get 783 with a remainder of 2.  That means that 73134 has the same units digit as 72.  So the units digit is 9.
width of garden After drawing the rectangle that represents the garden, you should notice that there are two widths and two lengths that make up the perimeter value. So one width and length make up half of the perimeter, or 14 feet. Guess two numbers that add up to 14 whose difference is 4. The numbers are 5 and 9.  The width is 5 feet.