Question

Jace is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie. Jace's songs were played on 6 more commercials than movies, and his total earnings on the royalties from all commercials and movies was $680. Determine the number of commercials and the number of movies on which Jace's songs were played.

Answer 1

The number of commercials is 340 and the number of movies are 334.

Explanation:

Let the number of commercials be = C

number of movies be = M

According to given conditions:

C = 6 + M --------- eq1

C + M + 6 = $680 ------ eq2

Putting eq1 in eq2:

6 + M + 6 + M = $680

12 + 2M = $680

Subtracting 12 from both sides:

2M = $680 - 12

2M = 668

Dividing both sides by 2:

M = 668/2

M = 334

For finding number of movies put value of M in eq 1

C = 334 + 6

C = 340

So The number of commercials is 340 and the number of movies are 334.

i hope it will help you!