Question

Alexa is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Alexa will earn $20 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Alexa earned a total of $340 in royalties on 8 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 Alexa's songs were played. Define the variables that you use to write the system.

Answer 1

variables:

c= the number of commercials

m= number of movies

system of equations:

20c+110m= 340

c+m= 8

Answer 2

Answer:the equations are

x + y = 8

20x + 110y = 340

Explanation:

Let x represent the number of commercials on which Alexa's songs were played.

Let y represent the number of movies on which Alexa's songs were played.

The total number of movies and commercials on which Alexa earned is 8. It means that

x + y = 8 - - - - - - - - - - - -1

Alexa will earn $20 every time one of her songs is played in a commercial and $110 every time one of her songs is played in a movie. Alexa earned a total of $340 in royalties. This means that

20x + 110y = 340 - - - - - - - - - - - -2