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
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Jaces songs were played on 6 more commercials than movies.
[tex]\boxed{C = 6 + M}[/tex] → Equation 1
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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.
[tex]\boxed{50C + 140M = 680}[/tex] → Equation 2
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Equation 1 ↔ Equation 2 :
[tex]50C + 140M = 680[/tex]
[tex]50 ( 6 + M ) + 140M = 680[/tex]
[tex]300 + 50M + 140M = 680[/tex]
[tex]190M = 680 - 300[/tex]
[tex]190M = 380[/tex]
[tex]M = 380 \div 190[/tex]
[tex]M = 2[/tex]
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[tex]C = 6 + M[/tex]
[tex]C = 6 + 2[/tex]
[tex]C = 8[/tex]
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Conclusion:
The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2
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Learn more
- Perimeter of Rectangle : https://brainly.com/question/12826246
- Elimination Method : https://brainly.com/question/11233927
- Sum of The Ages : https://brainly.com/question/11240586
Answer details
Grade: High School
Subject: Mathematics
Chapter: Simultaneous Linear Equations
Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations
