To obtain the number of drinls that the cafeteria sells in an hour, the following steps are recommended:
Step 1: Express the rate at which the cafeteria sells drinks, as follows:
[tex]\frac{40drin\text{ks}}{20\text{minutes}}[/tex]Step 2: Multiply the rate above by the appropriate conversion factor which will help express it in a per-hour basis, as below:
[tex]\frac{40drin\text{ks}}{20\text{minutes}}\times(\frac{60min\text{ute}}{1\text{hour}})[/tex]Step 3: Simplify to obtain the final expression, as follows:
[tex]\begin{gathered} \frac{40drin\text{ks}}{20\text{minutes}}\times(\frac{60min\text{ute}}{1\text{hour}}) \\ \Rightarrow\frac{2400\text{drinks}}{20\text{hour}} \\ \Rightarrow\frac{120drin\text{ks}}{1\text{hour}} \end{gathered}[/tex]Therefore, the cafeteria sells 120 drinks in an hour