Adams's method is an apportionment technique that works by finding a divisor, dividing each resort's number of rooms by that divisor, and rounding up to the nearest whole number. The objective is to distribute the total number of toboggans (5454) among the resorts proportionally based on the number of rooms.

Step-by-Step Solution Using Adams's Method:

1. Find Total Number of Rooms:

   Add the number of rooms from all the resorts:

   $969 + 1151 + 1411 + 2422 = 5945$

2. Estimate a Divisor:

   Since Adams's method rounds up, we start with the total number of toboggans (5454) and estimate a divisor. According to the hint, it should be between 1111 and 1212.

   We calculate each resort’s apportionment by dividing the number of rooms by different divisors and rounding up to find the correct one.

Trying different divisors:

Let's test by trial and error around 1175.

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Divisor = 1175

$\text{Resort A} = \frac{969}{1175} = 0.8247 \Rightarrow 1 \text{ (round up)}$ $\text{Resort B} = \frac{1151}{1175} = 0.9796 \Rightarrow 1 \text{ (round up)}$ $\text{Resort C} = \frac{1411}{1175} = 1.2009 \Rightarrow 2 \text{ (round up)}$ \