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Crazy boy [7]
2 years ago
13

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.
Mathematics
1 answer:
Hunter-Best [27]2 years ago
3 0

Answer:

<em>Owen's songs were played on 3 movies and on 7 commercials.</em>

Step-by-step explanation:

<u>System of Equations </u>

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

C=M+4

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

140M+50C=770

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

140M+50(M+4)=770

Operating

140M+50M+200=770

Reducing

190M=770-200=570

Solving

M=570/190=3

The number of commercials is

C=M+4=7

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

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