Step 1 :Adams's method is a method of apportionment in which the divisor is adjusted so that the total number of seats (or in this case, toboggans) is distributed in proportion to the population (or in this case, number of rooms) of each state (or in this case, resort). The hint suggests that a divisor between 11 and 12 will work, so we can start by trying a divisor of 11.5 and adjust as necessary.
Step 2 :We will calculate the number of toboggans for each resort by dividing the number of rooms by the divisor and rounding to the nearest whole number. If the total number of toboggans is not 51, we will adjust the divisor and repeat the process.
Step 3 :The final divisor that made the total number of toboggans equal to 51 was approximately 11.11.
Step 4 :Resort A was allocated 9 toboggans, Resort B was allocated 10 toboggans, Resort C was allocated 14 toboggans, and Resort D was allocated 18 toboggans.
Step 5 :The apportionment of toboggans for each resort using Adams's method is as follows: \begin{tabular}{|c|c|c|c|c|c|} \hline Resort & A & B & C & D & Total \\ \hline Number of rooms & 99 & 115 & 150 & 197 & 561 \\ \hline Allocated toboggans & 9 & 10 & 14 & 18 & 51 \\ \hline \end{tabular}