Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Adrian will earn $40 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. Adrian earned a total of $1010 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 Adrian's songs were played.

Question

Mathematics

Deandre Riley

22 June, 14:20

Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Adrian will earn $40 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. Adrian earned a total of $1010 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 Adrian's songs were played.

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Answers (1)

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Davis Mcdaniel · Answer 1

Step-by-step explanation:

Let number of songs are played in a commercial be a

number of songs are played in a movie be b

Adrian earned a total of $1010 - > a*40 + b*130 = 1010 (1)

14 commercials and movies - > a+b = 14 (2)

(1) - (2) * 40 = a*40 + b*130 - a*40 - b*40 = 1010 - 14*40

-> b*90 = 450

-> b = 5

-> a = 14-5 = 9