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Lilit [14]
3 years ago
9

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?
Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0

Answer:

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

Step-by-step 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=\frac{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.

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