Answer :
Let x be the number of movies you watch.
Option A will cost you:
[tex]20x+160[/tex]Option B will cost you:
[tex]40x[/tex]The two options will cost the same when:
[tex]\begin{gathered} 20x+160=40x \\ 160=40x-20x \\ 20x=160 \\ x=\frac{160}{20} \\ x=8 \end{gathered}[/tex]Therefore, after 8 movies the two options will cost the same.