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

Answer: a. 1200 items

b. 480 comedies

c. 150 horror films

Explanation:

x=total items

a. x - 2/5 * x - 1/8 * x - 1/4 * x=270

(x - 2/5 * x - 1/8 * x - 1/4 * x=270)*40 ==> 40 is the LCM of the denominators

40x - 40*2/5 * x - 40*1/8 * x - 40*1/4 * x=270*40

40x-80x/5-40x/8-40x/4=10800

40x-16x-5x-10x=10800

24x-15x=10800

9x=10800

x=1200 items

b. 2/5 * 1200=

2400/5=480 comedies

c. 1/8*1200=

1200/8=150 horror films