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Hailey is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Hailey will earn every time one of her songs is played in a commercial and she will earn every time one of her songs is played in a movie. Hailey’s songs were played on 4 times as many commercials as movies and her total earnings on the royalties from all commercials and movies was $440. Determine the number of commercials and the number of movies on which Hailey’s songs were played.

Answer Ameryt iout of 2

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Hailey is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Hailey will earn

Answer Ameryt iout of 2

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Let’s use the variables and to represent the number of times Hailey’s songs were played in commercials and movies, respectively.

We know that Hailey earns every time one of her songs is played in a commercial, so her total earnings from commercials would be . Similarly, her total earnings from movies would be .

We are told that Hailey’s songs were played on 4 times as many commercials as movies, so we can write:

We know that Hailey earns

We are told that Hailey’s songs were played on 4 times as many commercials as movies, so we can write:

We are also told that Hailey’s total earnings on the royalties from all commercials and movies was , so we can write:

Now we can substitute into the second equation and solve for :

So Hailey’s songs were played in 2 movies.

To find the number of commercials, we can use :

To find the number of commercials, we can use

So Hailey’s songs were played in 8 commercials.

Therefore, Hailey’s songs were played in 8 commercials and 2 movies.

Therefore, Hailey’s songs were played in 8 commercials and 2 movies.