Question

Carter is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Carter will earn $50 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie. Carter earned a total of $1000 in royalties on 12 commercials and movies. Determine the number of commercials and the number of movies on which Carter's songs were played.

Answer 1

Carter's song played on 7 commercials and 5 movies.

Step-by-step explanation:

Earning per commercial = $50

Earning per movie = $130

Total earned = $1000

Total commercial and movies = 12

Let,

x be the number of commercials

y be the number of movies

According to given statement;

x+y=12     Eqn 1

50x+130y=1000    Eqn 2

From Eqn 1

x=12-y    Eqn 3

Putting value of x from Eqn 3 in Eqn 2

$50(12-y)+130y=1000\\600-50y+130y=1000\\80y=1000-600\\80y=400$

Dividing both sides by 80

$\frac{80y}{80}=\frac{400}{80}\\y=5$

Putting y=5 in Eqn 1

$x+5=12\\x=12-5\\x=7$

Carter's song played on 7 commercials and 5 movies.

Keywords: linear equation, substitution method

Learn more about substitution method at:

• brainly.com/question/537230
• brainly.com/question/5345266

#LearnwithBrainly