The system of equations that could be used to determine the number
of commercials and the number of movies on which Nora's songs
were played is:
x + y = 12
40 x + 120 y = 640
The variables are:
x represents the number of songs are played in commercials
y represents the number of songs are played in movies
Step-by-step explanation:
Nora is a songwriter who collects royalties on her songs whenever
they are played in a commercial or a movie
- Nora will earn $40 every time one of her songs is played in a commercial
- She will earn $120 every time one of her songs is played in a movie
- Nora earned a total of $640 in royalties on 12 commercials and movies
We need to write a system of equations that could be used to
determine the number of commercials and the number of movies
on which Nora's songs were played
Assume that x represents the number of songs are played in
commercials and y represents the number of songs are played
in movies
∵ There are x songs were played in commercials
∵ There are y songs were played in movies
∵ There are 12 songs were played in commercials and movies
∴ x + y = 12 ⇒ (1)
∵ She will earn $40 every time one of her songs is played in
a commercial
∵ She will earn $120 every time one of her songs is played in
a movie
∵ She earned a total of $640 in royalties on 12 commercials
and movies
∴ 40 x + 120 y = 640 ⇒ (2)
The system of equations that could be used to determine the number
of commercials and the number of movies on which Nora's songs
were played is:
x + y = 12
40 x + 120 y = 640
The variables are:
x represents the number of songs are played in commercials
y represents the number of songs are played in movies
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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