Question

Write a system of equations that could be used to determine the number of commercials and the number of movies on which Alexa songs were played Define the variables that you use to write the system.

Answer 1

We make a system of equations from the statement

Alexa will earn $20 every time one of her songs is played in a commercial and she will $110 every time one of her songs is played in a movie.

`T=20c+110m`

where T is the total earned, c the number of commercials and m the number of movies

Alexa earned a total of $340 in 8 commercials and movies

we replace the total (340) on the first equation and make and equation for the total of commercials and movies

`\begin{gathered} 340=20c+110m \\ c+m=8 \end{gathered}`

it is our system