Question

Gloria owns a video rental store. Two-fifths of the store items

are comedies, one-eighth are horror films, one-fourth are
dramas, and the remaining 270 are video games.
a. How many items are there in total?
b. How many comedies are there?
c. How many horror films are there?

Answer 1

(a) 1200, (b) 480, (c) 150

Explanation:

(a) Fraction of video games

= 1 -
`(2)/(5)` -
`(1)/(8)` -
`(1)/(4)`

=
`(40)/(40)` -
`(16)/(40)` -
`(5)/(40)` -
`(10)/(40)`

=
`(9)/(40)`

`\frac9{40}` = 270

`(1)/(40)` = 30

∴
`(40)/(40)` = 1200

∴ There are a total of 1200 items.

(b) ∴ No. of comedies =
`(16)/(40)`

= 480

(c) ∴ No. of horror films =
`(5)/(40)`

= 150