The episode with commercials consists of 60 minutes, and without those, it consists of 41.5minutes; therefore, 60-41.5=18.5 minutes are only commercials when the episode airs.
Divide those 18.5minutes into intervals of 0.5 minutes by calculating
[tex]\frac{18.5}{0.5}=37[/tex]
Therefore, the equation is
[tex]\begin{gathered} 41.5+0.5c=60 \\ \end{gathered}[/tex]
Solving for c,
[tex]\Rightarrow c=\frac{18.5}{0.5}=37[/tex]
Then, the episode included 37 1/2-minute commercials.
