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Debora [2.8K]
3 years ago
10

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 and 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. 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. Define the variables that you use to write the system.
Mathematics
1 answer:
34kurt3 years ago
3 0

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

#LearnwithBrainly

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