During my three-week stay in Walla Walla, Washington, it rained for 7 days, it was sunny for 11 days, and it was overcast without rain for 3 days. The next time I go to Walla Walla, I'm staying for a full leap year, or 366 days. If we assume Walla Walla will have the same ratio of rainy, sunny, and overcast days that I experienced on my last visit, how many days in my year should I expect it to rain?
So the total amount of days in three weeks is 21. Every 21 days, it rains 7 days. We can write out a ratio the same way for every 366 days.
\(\frac{7}{21}=\frac{n}{366}\)
Now we solve for \(n\) (\(n \) being the number of days it rains in 366 days) by cross-multiplying. \(n=\frac{7\times366}{21}\Rightarrow \frac{366}{3}\Rightarrow 122\).
So our answer is \(\boxed{122}\)