website allows users to download individual songs or an entire album. All individual songs cost the same to download, and all albums cost the same to download. Ryan pays $14.94 to download 5 individual songs and 1 album. Seth pays $22.95 to download three individual songs and two albums. How much does the website charge to download a song?
+128456 Let S = cost to download a song and A = cost to download an album
We have this system
5S + 1A = 14.94 ⇒ A = 14.94 - 5S (1)
3S + 2A = 22.95 (2)
Sub (1) into (2) for A and we have that
3S + 2 [ 14.94 - 5S ]= 22.95 simplify
3S + 29.88 - 10S = 22.95
-7S + 29.88 = 22.95 subtract 29.88 from both sides
-7S = -6.73 divide both sides by 7
S = .99 = cost to download a song
+128456 Let S = cost to download a song and A = cost to download an album
We have this system
5S + 1A = 14.94 ⇒ A = 14.94 - 5S (1)
3S + 2A = 22.95 (2)
Sub (1) into (2) for A and we have that
3S + 2 [ 14.94 - 5S ]= 22.95 simplify
3S + 29.88 - 10S = 22.95
-7S + 29.88 = 22.95 subtract 29.88 from both sides
-7S = -6.73 divide both sides by 7
S = .99 = cost to download a song
