Variables:
sitcom episodes: s
drama episodes: d
talk show episodes: t
0.3 s + 0.3 d + 0.6 t = 3.6
s + d + t = 7
d = 2s
From s + d + t = 7 and d = 2s
s + 2s + t = 7
3s + t = 7
t = 7 - 3s
substitute t = 7 - 3s and d = 2s in 0.3 s + 0.3 d + 0.6 t = 3.6
0.3s + 0.3(2s) + 0.6 (7 - 3s) = 3.6
0.3s + 0.6s + 4.2 - 1.8s = 3.6
- 0.6 s = 3.6 - 4.2
-0.6 s = - 0.6
s = 1. Then
d = 2s = 2
t = 7 -3(s) = 7 - 3(1) = 4
Answer: 1 sitcom, 2 drama and 4 talk show.
