Question

Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Adrian will earn $40 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. Adrian earned a total of $1010 in royalties on 14 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 Adrian's songs were played.

Answer 1

Answer:

Step-by-step explanation:

Let number of songs are played in a commercial be a

     number of songs are played in a movie be b

Adrian earned a total of $1010 -> a*40 + b*130 = 1010  (1)

14 commercials and movies -> a+b = 14                          (2)

(1) - (2)*40 =  a*40 + b*130 - a*40 -b*40 = 1010 -14*40

-> b*90 = 450

-> b = 5

-> a = 14-5 = 9

Answer 2

The system of equation should be used is 40a + 130b = 1010

And, a + b = 14

And, the number of commercials and the number of movies on which Adrian's songs were played is 9 and 5

The following information should be considered:

• Let us assume the number of songs are played in a commercial be a and   number of songs are played in a movie be b

So, the equations are

40a + 130b = 1010

a + b = 14

b = 14 - a

Now

40a + 130(14 - a) = 1010

40a + 1,820 - 130a = 1010

-90a = -810

a = 9

And, y = 14 -9

= 5

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