Question

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

Answer 1

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

Further explanation

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

• Elimination Method
• Substitution Method
• Graph Method

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

$\texttt{ }$

Jaces songs were played on 6 more commercials than movies.

$\boxed{C = 6 + M}$ → Equation 1

$\texttt{ }$

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.

$\boxed{50C + 140M = 680}$ → Equation 2

$\texttt{ }$

Equation 1  ↔ Equation 2 :

$50C + 140M = 680$

$50 ( 6 + M ) + 140M = 680$

$300 + 50M + 140M = 680$

$190M = 680 - 300$

$190M = 380$

$M = 380 \div 190$

$M = 2$

$\texttt{ }$

$C = 6 + M$

$C = 6 + 2$

$C = 8$

$\texttt{ }$

Conclusion:

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

$\texttt{ }$

Learn more

• Perimeter of Rectangle : brainly.com/question/12826246
• Elimination Method : brainly.com/question/11233927
• Sum of The Ages : brainly.com/question/11240586

Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

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