Question

Andy watches 10 television shows every week. He watches dramas, comedies, and reality shows. Dramas are 1 hour long, comedies are 30

minutes, and reality shows are 2 hours long. He spends 8 hours watching his shows and watches twice as many comedies as dramas. Which
system of equations could be used to determine how many of each type of show he watches each week?
Оа
b
d+C+r= 8 d + .5€ + 20 = 10 c = 2d
d+C+ r = 10 d + 5c + 2r = 8 d = 20
d+ C + r=10 d + 5c +2r = 8 C= 2d
d+C+ r = 8 d + C + 2r = 10 d = 20
с
d
Submit
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Answer 1

`d+0.5c+2r=8\\\\ c=2d`

Explanation:

Let d= dramas

c= comedies

r= reality shows

Dramas are 1 hour long, comedies are 30 minutes, and reality shows are 2 hours long.

Total time spent on watching =
`1 *(d) + 0.5 * (c) +2 *(r)= d+0.5c+2r`

[
`30\ minutes=(30)/(60) \ hours = 0.5 hour \ \ (1 hour = 60\ minutes)` ]

Since he spent 8 hours for this, that means

`d+0.5c+2r=8` → First equation

He watches twice as many comedies as dramas.

i.e.
`c=2d` → second equation

So, the system of equations could be used to determine how many of each type of show he watches each week:

`d+0.5c+2r=8\\\\ c=2d`