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 =
`(2)/(5)`

Number of people bought tickets for horror =
`(1)/(4)`

Number of people bought tickets for kids movie =
`(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 =
`((2)/(5) +(1)/(4) +(3)/(10) )`

So,

`((2)/(5) +(1)/(4) +(3)/(10) )`

LCM of 5,4,10 = 20

=
`(8+5+6)/(20)`

=
`(19)/(20)`

Rest are action movie's tickets.

Therefore,

Number of action movie tickets =
`1-(19)/(20)`

=
`(20-19)/(20)`

=
`(1)/(20)`

Hence,

The number of people who bought the tickets for action movie is
`(1)/(20)`.