Question

There are four movies showing at the theater, 2/5 of the people bought tickets for the comedy, 1/4 bought tickets for the horror movie and 3/10 bought tickets to the kids movie. What fraction represents the number of people who bought tickets for the action movie?

Answer 1

Given:

Number of people bought tickets for comedy = $\frac{2}{5}$

Number of people bought tickets for horror = $\frac{1}{4}$

Number of people bought tickets for kids movie = $\frac{3}{10}$

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 = $(\frac{2}{5} +\frac{1}{4} +\frac{3}{10} )$

So,

$(\frac{2}{5} +\frac{1}{4} +\frac{3}{10} )$

LCM of 5,4,10 = 20

= $\frac{8+5+6}{20}$

= $\frac{19}{20}$

Rest are action movie's tickets.

Therefore,

Number of action movie tickets = $1-\frac{19}{20}$

= $\frac{20-19}{20}$

= $\frac{1}{20}$

Hence,

The number of people who bought the tickets for action movie is $\frac{1}{20}$.