Answer:
comedy = 2
drama = 4
reality = 1
Step-by-step explanation:
comedy = 30min
denote as "c"
drama = 60min
denote as "d"
reality = 60min
denote as "r"
write in English
(30min of c) + (60 min of d) + (60min of r) totals to 360 min
translate to mathematics
(30c) + (60d) + (60r) = 360
we also know that there is a total of seven episodes
so we can say
c + d + r = 7
and we also know that there are twice as many episodes of drama as there is of comedy so it can be said that
d = 2c
now there is a system of equations
30c + 60d + 60r = 360
c +d + r = 7
d = 2c
all we know have to do is simplify and solve
substitute in the second equation, into the first
c + d + r = 7
d = 2c
c + 2c + r = 7
simplify
3c + r = 7
r = 7 - 3c
substitute this into the first equation
d = 2c
r = 7 -3c
30c + 60d + 60r = 360
30c + 60(2c) + 60(7 - 3c) = 360
distribute
30c + 120c + 420 - 180c = 360
simplify
-30c + 420 = 360
-420 -420
-30c = -60
c = 2
substitute back into the other equations and solve
d = 2c
d = 2 *2
d = 4
r = 7 - 3c
r = 7 - 3 * 2
r = 7 -6
r = 1
