Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie. jaces songs were played on 6 more commercials than movies, and his total earnings in the royalties from all
commercials and movies was $680. determine the number of commercials and the number of movies in which jaces songs where played

Jace's song were played on 8 commercials and 2 movies

Simultaneous Linear Equations could be solved by using several methods such as :

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

Let:

Number of Commercials = C

Number of Movies = M

Jaces songs were played on 6 more commercials than movies.

→ Equation 1

Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.

His total earnings in the royalties from all commercials and movies was $680.

→ Equation 2

Equation 1  ↔ Equation 2 :

The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation: