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autumn is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. autumn will earn $30 every time one of her songs is played in a commercial and she will earn $120 every time one of her songs is played in a movie. autumn earned a total of $480 in royalties on 10 commercials and movies. write a system of equations that could be used to determine the number of commercials and the number of movies on which autumn's songs were played. define the variables that you use to write the system.

Answer :

Autumn's songs were played in 2 movies and 8 commercials combined.

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

Assume that y is the total number of movies that featured Autumn's songs, and x is the total number of commercials.

There will be the following equations that describe the given issue:

Here

30x+120y=480

x + 4y = 16 equation 1.

and

x + y = 10

y = 10-x equation 2.

putting eq 2 in 1 we have

x+4(10x) = 16

⇒-3x+40= 16

⇒x=8

⇒ y = 2

Hence, Autumn's songs were played in 2 movies and 8 commercials combined.

Learn more about equations, by the following link

brainly.com/question/2972832

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