Answer: B. x + y + z = 11
2x + 3y + 2z = 27
x + 2y + 2z = 19
C. x + y + z = 11
Step-by-step explanation:
Let x represent the number of dramas that each of them chose.
Let y represent the number of comedies that each of them chose.
Let z represent the number of documentaries that each of them chose.
Gina chose 11 movies total. This means that
x + y + z = 11 - - - - - - - - - - - 1
Sam chose twice as many dramas, three times as many comedies, and twice as many documentaries as Gina. He chose 27 movies total. This means that
2x + 3y + 2z = 27 - - - - - - - - - - - 2
Robby chose 19 movies total with the same number of dramas, twice as many comedies, and twice as many documentaries as Gina. This means that
x + 2x + 2y = 19 - - - - - - - - - - - 3
equations 1,2 and 3represents their movie choices.
