Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Question

Pamela received some gift cards for music and movie downloads for her birthday. Using one of them, she downloaded 4 songs and 1 movie, which cost a total of $16. Using another, she purchased 6 songs and 1 movie, which cost a total of $18. How much does each download cost?

Downloads cost $_______ for a song and $______ for a movie

Answer 1

S = number of songs

m = number of movies

4s + 1 m = 16

6s + 1m. = 18, subtract the two equations

2s = 2, s = 1 dollar per song

substitute in

6 + 1m 18

subtract 6. m = 12 dollars per movie

Answer 2

4s + 1m = 16

6s + 1m = 18

You can solve the system. OR

2 more songs cost $2

Each song is $1