If $C=\frac{5}{9}(F-32)$, what is $F$ when $C=20$?
This is a problem that involves converting between degrees Celsius and degrees Fahrenheit using a formula. I want to find $F$, the degrees Fahrenheit, when $C$, the degrees Celsius, is $20$. I can use the given formula and plug in $C=20$ to get an equation: $20=\frac{5}{9}(F-32)$. To solve for $F$, I need to isolate it on one side of the equation. I can start by multiplying both sides by $9$ to get rid of the fraction: $180=5(F-32)$. Then I can divide both sides by $5$ to get: $36=F-32$. Next, I can add $32$ to both sides to get: $68=F$. This means that when $C=20$, $F=68$. I can check my answer by plugging it back into the original formula and seeing if it satisfies it: $\frac{5}{9}(68-32)=\frac{5}{9}(36)=20$, which is true. Therefore, $F=68$ is the correct answer. 