Question

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.

Answer 1

Answer:

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

Answer 2

Answer:

\text{Let }c=

Let c= the number of commercials

Let m= the number of movies

40c+130m=1010

c+m= 14

Step-by-step explanation:

Because i just did it in Delta Math