Question

Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or 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. How many commercials and movies did Adrian's songs play on?

Answer 1

Adrian's songs played on 9 commercials and 5 movies.

Explanation:

Let x denotes number of commercials and y denotes number of movies.

Total number of commercials and movies = 14

So,

`x+y=14\\x=14-y\,\,\,\,...(i)`

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

Total amount earned = $1010

`40x+130y=1010\,\,\,...(ii)`

Put
`x=14-y` in (ii)

`40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=(450)/(90)=5`

Put
`y=5` in
`x=14-y`

`x=14-5=9`

Therefore, Adrian's songs played on 9 commercials and 5 movies.