Owen is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Owen will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie. Owen's songs were played on 4 more commercials than movies, and his total earnings on the royalties from all commercials and movies was $770. Determine the number of commercials and the number of movies on which Owen's songs were played.

Let's call C the number of commercials on which Owen's songs were played and M the number of movies on which Owen's songs were played. We know Owen's songs were played on 4 more commercials than movies, it can be expressed as

[tex]C=M+4[/tex]

Owen will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie, so his total earnings are

[tex]140M+50C=770[/tex]

We have a system of linear equations that can be easily solved by using the formula for C in the above equation

[tex]140M+50(M+4)=770[/tex]

Operating

[tex]140M+50M+200=770[/tex]

Reducing

[tex]190M=770-200=570[/tex]

Solving

[tex]M=570/190=3[/tex]

The number of commercials is

[tex]C=M+4=7[/tex]

Owen's songs were played on 3 movies and on 7 commercials.

brooks39260 brooks39260 · Answer 2 · 2021-02-12T00:06:46+01:00

brooks39260 brooks39260

12-02-2021

Answer:

C

Step-by-step explanation:

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