Respuesta :
Given:
Number of people bought tickets for comedy = [tex]\frac{2}{5}[/tex]
Number of people bought tickets for horror = [tex]\frac{1}{4}[/tex]
Number of people bought tickets for kids movie = [tex]\frac{3}{10}[/tex]
To find the number of people who bought tickets for the action movie.
Let us take,
Total number of tickets = 1
Now,
Total number of tickets for comedy, horror and kids movie are = [tex](\frac{2}{5} +\frac{1}{4} +\frac{3}{10} )[/tex]
So,
[tex](\frac{2}{5} +\frac{1}{4} +\frac{3}{10} )[/tex]
LCM of 5,4,10 = 20
= [tex]\frac{8+5+6}{20}[/tex]
= [tex]\frac{19}{20}[/tex]
Rest are action movie's tickets.
Therefore,
Number of action movie tickets = [tex]1-\frac{19}{20}[/tex]
= [tex]\frac{20-19}{20}[/tex]
= [tex]\frac{1}{20}[/tex]
Hence,
The number of people who bought the tickets for action movie is [tex]\frac{1}{20}[/tex].
