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

Kerr

Mathematics

13 March, 14:27

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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Kenyon Peck · 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