Carter is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. carter will earn $50 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie. carter earned a total of $1000 in royalties on 12 commercials and movies. determine the number of commercials and the number of movies on which carter's songs were played.

Number of songs played in commercial are 7 and  Number of songs played in movie are 5.

Step-by-step explanation:

Let Number of songs played in commercial be x

and Number of songs played in movie be y.

Total number of songs played =12

Hence,

Also

Cost for songs played in commercial = $50

Cost for  songs played in movie = $130

Total Money earned = $1000

Hence,

Dividing by 10 on both side we get;

Now multiplying equation 1 by 5 we get;

Now Subtracting equation 3 from equation 2 we get;

y = 5

x + y = 12

x + 5 = 12

x = 12 - 5

x = 7

Hence, Number of songs played in commercial are 7 and  Number of songs played in movie are 5.

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