Question

Mackenzie works as a salesperson at an electronics store and sells phones, and 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 (C) and the number of movies (M) on which Alexa's songs were played.

Equation 1: 20C + 110M = 340
Equation 2: C + M = 8

Answer 1

To determine the number of commercials and movies Alexa's songs were played on, two equations are set up: Equation 1 represents the total royalties earned (20C + 110M = 340), and Equation 2 represents the total number of plays (C + M = 8).

Step-by-step explanation:

The student is asking about creating a system of equations to determine the number of commercials and movies in which Alexa's songs were played. To find the number of commercials (C) and movies (M) that resulted in Alexa's total royalties, we can set up two equations. The first, Equation 1: 20C + 110M = 340, represents the total amount of royalties earned from commercials and movies, where Alexa earns $20 for each commercial and $110 for each movie. The second, Equation 2: C + M = 8, represents the total number of commercials and movies, which is 8. By solving the system of equations, one can determine the values of C and M.