Lillian is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Lillian will earn $30 every time one of her songs is played in a commercial and she will earn $100 every time one of her songs is played in a movie. Lillian earned a total of $700 in royalties on 14 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 Lillian's songs were played. Define the variables that you use to write the system.

Question

April Romero

Mathematics

8 February, 16:49

Lillian is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Lillian will earn $30 every time one of her songs is played in a commercial and she will earn $100 every time one of her songs is played in a movie. Lillian earned a total of $700 in royalties on 14 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 Lillian's songs were played. Define the variables that you use to write the system.

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Answers (1)

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Zackary · Answer 1

30 c + 100 m = 700

c + m = 14

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations.

The product of the number of movies where the song was played (m) multiplied by the earnings per movie (30) plus the product of the number of commercials where the song was played (m) multiplied by the earnings per commercial, must be equal to $700.

30 c + 100 m = 700

The number of movies (m) plus the number of commercials (c) is equal to 14.

c + m = 14

The system is:

30 c + 100 m = 700

c + m = 14